1.
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edited by Christopher Heil
2.
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edited by Julien Barral, Stéphane Seuret
3.
ＥＢ
by Christopher Heil
4.
ＥＢ
by Ole Christensen, Khadija L. Christensen
目次情報:
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Preface
Approximation with Polynomials
Infinite Series
Fourier Analysis
Wavelets and Applications
Wavelets and their Mathematical Properties
Appendix A
Appendix B
References
Index
Preface
Approximation with Polynomials
Infinite Series
5.
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by Loukas Grafakos
6.
ＥＢ
by Loukas Grafakos
7.
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by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
目次情報:
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Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
Applications to Analysis on Quasi-Metric Spaces
Non-Locally Convex Functional Analysis
Functional Analysis on Quasi-Pseudonormed Groups
References
Symbol Index
Subject Index
Author Index
Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
8.
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edited by Julien Barral, Stéphane Seuret
目次情報:
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The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self-Similar Subsets of Metric Groups
Multivariate Davenport Series
Dimensions of Self-Affine Sets
The Multifractal Spectra of V-Statistics
Projections of Measures Invariant Under the Geodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions
Cookie-Cutter-Like Sets with Graph Directed Construction
Recent Developments on Fractal Properties of Gaussian Random Fields.
The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
9.
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by Colin C. Graham, Kathryn E. Hare
目次情報:
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Preface
Introduction
Hadamard Sets
$\epsilon$-Kronecker sets
Sidon sets: Introduction and decomposition properties
Characterizations of $I_0$ sets
Proportional characterizations of Sidon sets
Decompositions of $I_0$ sets
Sizes of thin sets
Sets of zero discrete harmonic density
Related results.-Open problems
Appendices (Groups, Probability, Combinatoric results,...)
Bibliography
Author index
Subject index
Index of notation
Preface
Introduction
Hadamard Sets
10.
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by David V. Cruz-Uribe, Alberto Fiorenza
目次情報:
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1 Introduction
2 Structure of Variable Lebesgue Spaces
3 The Hardy-Littlewood Maximal Operator.- 4 Beyond Log-Hölder Continuity
5 Extrapolation in the Variable Lebesgue Spaces
6 Basic Properties of Variable Sobolev Spaces
Appendix: Open Problems
Bibliography
Symbol Index
Author Index
Subject Index.
1 Introduction
2 Structure of Variable Lebesgue Spaces
3 The Hardy-Littlewood Maximal Operator.- 4 Beyond Log-Hölder Continuity
11.
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edited by Radu Balan, Matthew J. Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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The Algebra of Elimination
Hodge-de Rahm Theory of K-Forms on Carpet Type Fractals
Biosequence Time-frequency Processing: Pathogen Detection and Identification
Wavelet-Shearlet Edge Detection and Thresholding Methods in 3D
Recursive Computation of Spherical Coefficients of Large Degree
Analyzing Fluid Flows via the Ergodicity Defect
the HRT Conjecture and the Zero Divisor Conjecture for the Heisenberg Group
The abc-problem for Gabor Systems and Uniform Sampling in Shift-invariant spaces
On Various Levels of Linear Independence for Integer Translates of a Finite Number of Functions
Polyphase Golay Sequences with Semi-polyphase Fourier Transform and All-zero Crosscorrelation: Construction B
Reversible Jump Particle Filter for Wideband DOA Tracking
Advances in Radar Waveform Development
Adventures in Compressive Sensing Based MIMO Radar
The Algebra of Elimination
Hodge-de Rahm Theory of K-Forms on Carpet Type Fractals
Biosequence Time-frequency Processing: Pathogen Detection and Identification
12.
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edited by Stevan Pilipović, Joachim Toft
目次情報:
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Preface
U. Battisti, S. Coriasco and E. Schrohe: A Class of Fourier Integral Operators on Manifolds with Boundary
C. Boiti and D. Jornet: The Problem of Iterates in Some Classes of Ultradifferentiable Functions
C. Bouzar and M.T. Khalladi: On Asymptotically Almost Periodic Generalized Solutions of Differential Equations
E. Cordero, F. Nicola and L. Rodino: Gabor Wave Packets and Evolution Operators
H. Fredriksson: A Weighted Version of Wiener’s Lemma in p-normed Algebras for 0 < p ≤ 1
L. Galleani: Time-Frequency Initial Value Problems for Random MIMO Systems
G. Garello and A. Morando: Microlocal Regularity of Besov Type for Solutions to Quasi-elliptic Nonlinear Partial Differential Equations
T. Gramchev, A. Lecke, S. Pilipiovic and L. Rodino: Gelfand–Shilov Type Spaces Through Hermite Expansions
T. Gramchev and G. Tranquilli: Cauchy Problem for Second-order Hyperbolic Equations for Shubin Pseudodifferential Operators
G. Hörmann, S. Konjik and M. Kunzinger: A Regularization Approach to Non-smooth Symplectic Geometry
S. Mincheva-Kaminska: Equivalent Conditions for Integrability of Distributions
I. Kmit and L. Recke: Time-periodic Second-order Hyperbolic Equations: Fredholmness, Regularity, and Smooth Dependence
S. Kostadinova, S. Pilipovic, K. Saneva and J. Vindas: The Ridgelet Transform and Quasiasymptotic Behavior of Distributions
T. Levajkovic H. Mena: Equations Involving Malliavin Derivative:A Chaos Expansion Approach
J.-A. Marti: Generalized and Classical Solutions to a Characteristic Cauchy Problem with Hörmander Hypotheses
I.V. Melnikova and U.A. Alekseeva: On Generalized Solutions to Stochastic Systems
C. Sämann and R. Steinbauer: Geodesic Completeness of Generalized Space-times
J. Toft: Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
K. Yoshino: Spectral Analysis of Daubechies Localization Operators
Preface
U. Battisti, S. Coriasco and E. Schrohe: A Class of Fourier Integral Operators on Manifolds with Boundary
C. Boiti and D. Jornet: The Problem of Iterates in Some Classes of Ultradifferentiable Functions
13.
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edited by Radu Balan, Matthew Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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Wiener Randomization on Unbounded Domains and an Application to Almost Sure Well-Posedness of NLS
Bridging Erasures and the Infrastructure of Frames
Choosing Function Spaces in Harmonic Analysis
Existence of Frames with Prescribed Norms and Frame Operator
Phase Transitions in Phase Retrieval
Sparsity-Assisted Signal Smoothing
A Message-Passing Approach to Phase Retrieval of Sparse Signals
Importance Sampling in Signal Processing Applications
Finite Dimensional Dynamical Sampling: An Overview
Signal Processing on Weighted Line Graphs
Adaptive Signal Processing
Spectral Correlation Hub Screening of Multivariate Time Series
A Spectral Analysis Approach for Experimental Designs
The Synchrosqueezing Transform for Instantaneous Spectral Analysis
Supervised Non-Negative Matrix Factorization for Audio Source Separation
Wiener Randomization on Unbounded Domains and an Application to Almost Sure Well-Posedness of NLS
Bridging Erasures and the Infrastructure of Frames
Choosing Function Spaces in Harmonic Analysis
14.
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by N. Bourbaki
15.
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by Ole Christensen
16.
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edited by John J. Benedetto, Palle E. T. Jorgensen, Kathy D. Merrill, Judith A. Packer
17.
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by David R. Adams
目次情報:
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Introduction
Function Spaces
Hausforff Capacity
Choquet Integrals
Duality for Morrey Spaces
Maximal Operators and Morrey Spaces
Potential Operators on Morrey Spaces
Singular Integrals on Morrey Spaces
Morrey-Sobolev Capacities
Traces of Morrey Potentials
Interpolation of Morrey Spaces
Commutators of Morrey Potentials
Mock Morrey Spaces
Morrey-Besov Spaces and Besov Capacities
Morrey Potentials and PDE I
Morrey Potentials and PDE II
Morrey Spaces on Complete Riemannian Manifolds
Introduction
Function Spaces
Hausforff Capacity
18.
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by Donggao Deng, Yongsheng Han ; edited by J. -M. Morel, F. Takens, B. Teissier
19.
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edited by Andrei Raigorodskii, Michael Th. Rassias
目次情報:
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On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
Inequalities for weighted trigonometric sums
Norm Inequalities for Generalized Laplace Transforms
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins
The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities
The second moment of the first derivative of Hardy's Z-function
Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas
On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function
A remark on sets with small Wiener norm
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function
On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
20.
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edited by Paolo Boggiatto, Marco Cappiello, Elena Cordero, Sandro Coriasco, Gianluca Garello, Alessandro Oliaro, Jörg Seiler
目次情報:
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Anisotropic Gevrey-Hörmander pseudo-differential operators on modulation spaces
Hardy spaces on weighted homogeneous trees
The global Cauchy problem for the plate equation in weighted Sobolev spaces
Cone-Adapted Shearlets and Radon Transforms
Linear perturbations of the Wigner transform and the Weyl quantization
About the nuclearity of S(Mp) and Sw
Spaces of ultradifferentiable functions of multi-anisotropic type
Comparison principle for non-cooperative elliptic systems and applications
O n the simple layer potential ansatz for the n-dimensional Helmholtz equation
Decay estimates and Gevrey smoothing for a strongly damped plate equation
Long time decay estimates in real Hardy spaces for the Double Dispersion Equation
On Density Operators with Gaussian Weyl Symbols
On the solvability of a class of second order degenerate operators
Small data solutions for semilinear waves with time-dependent damping and mass terms
Integrating Gauge Fields in the -formulation of Feynman’s path integral
A Class of Well-Posed Parabolic Final Value Problems
Localization of a Class of Muckenhoupt Weights by Using Mellin Pseudo-Differential Operators
Carleman regularization and hyperfunctions
Strictly hyperbolic Cauchy problems with coefficients low-regular in time and space
Quantization and Coorbit Spaces for Nilpotent Groups
On the Measurability of Stochastic Fourier Integral Operators
Convolution and Anti-Wick quantisation on ultradistribution spaces
Exact formulas to the solutions of several generalizations of the nonlinear Schrödinger equation
Dirichlet-to-Neumann Operator and Zaremba Problem
Extended Gevrey regularity via the short-time Fourier transform
Wiener estimates on modulation spaces
The Gabor wave front set of compactly supported distributions
Anisotropic Gevrey-Hörmander pseudo-differential operators on modulation spaces
Hardy spaces on weighted homogeneous trees
The global Cauchy problem for the plate equation in weighted Sobolev spaces
21.
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by Volker Runde
目次情報:
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Preface
List of Symbols
Introduction
0 Paradoxical Decompositions
1 Amenable, Locally Compact Groups
2 Amenable Banach Algebras
3 Examples
4 Amenability-Like Properties
5 Dual Banach Algebras
6 Banach Homological Algebra
7 Operator Algebras on Hilbert Spaces
8 Operator Amenability
A Banach Spaces
B Banach Algebras
C C*- and Neumann Algebras
D Abstract Harmonic Analysis
E Operator Spaces
F Fourier and Fourier-Stieltjes Algebras
References
Index of Names
Index
Preface
List of Symbols
Introduction
22.
ＥＢ
by Christian Voigt, Robert Yuncken
23.
ＥＢ
edited by Matthew Hirn, Shidong Li, Kasso A. Okoudjou, Sandra Saliani, Özgür Yilmaz
目次情報:
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John Benedetto's mathematical work
Absolute continuity and the Banach-Zaretsky Theorem
Spectral Synthesis and H1(R)
Universal Upper Bound on the Blowup Rate of Nonlinear Schrodinger Equation with Rotation
Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators
Spatio-spectral limiting on rendundant cubes: A case study
A notion of optimal packings of subspaces with mix-rank and solutions
Construction of Frames Using Calderon-Zygmund Operator Theory
Equiangular frames and their duals
Wavelet sets for crystallographic groups
Discrete Translates in Function Spaces
Local-to-global frames and applications to the dynamical sampling problem
Signal analysis using Born-Jordan-type Distributions
Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs
Dynamical Sampling: a view from Control Theory
Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators
Sparsity-Based MIMO Radars
Robust width: A Characterization of uniformly stable and robust compressed sensing
On best uniform affine approximants of convex or concave real valued functions from RK, Chebyshev equioscillation and graphics
A Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations
Maximal function pooling with applications
John Benedetto's mathematical work
Absolute continuity and the Banach-Zaretsky Theorem
Spectral Synthesis and H1(R)
24.
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edited by Paolo Ciatti, Alessio Martini
25.
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edited by Alexey N. Karapetyants, Igor V. Pavlov, Albert N. Shiryaev
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 358
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-76829-4
所蔵情報:
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目次情報:
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On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics
Hierarchical Schrödinger type operators: the case of locally bounded potentials
Symmetric Integrals and the Pathwise-Determined Maximum Principle
Lanchester Model with the Random Coefficients
Local time and local reflection of the Wiener process
Out-of-sample utility bounds for empirically optimal portfolios in a single-period investment problem
A Guaranteed Deterministic Approach to Superhedging: Optimal Mixed Strategies of the Market and their Supports
CVaR hedging in defaultable Jump-Diffusion markets
A model for the outbreak of COVID-19: Vaccine effectiveness in a case study of Italy
Combinatorial IdentitiesWith Binomial Coefficients
Double-Barrier Option Pricing under the Hyper-Exponential Jump-Diffusion Model
A probabilistic interpretation of conservation and balance laws
Random Tempered Distributions on Locally Compact Separable Abelian Groups
A conditional functional limit theorem for a decomposable branching process
Influence of the configuration of particle generation sources on the behavior of branching walks: a case study
Some Properties of Regularly Varying Functions and Series in the Orthant
On solutions of stochastic equations with current and osmotic velocities
A Simple Wiener-Hopf Factorization Approach for Pricing Double Barrier Options
Rate of convergence to the Poisson law of the numbers of cycles in the generalized random graphs
Single Jump Filtrations: Preservation of the Local Martingale Property with Respect to the Filtration Generated by the Local Martingale
New procedure for applying the Cramér-von Mises test for parametric families of distributions
Stochastic methods in investigation of modern networks
Random harmonic processes with new properties
On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics
Hierarchical Schrödinger type operators: the case of locally bounded potentials
Symmetric Integrals and the Pathwise-Determined Maximum Principle
26.
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by Cornelia Schneider
27.
ＥＢ
by Matej Brešar
28.
ＥＢ
by Dorina Mitrea, Irina Mitrea, Marius Mitrea
目次情報:
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Prefacing this Series
Statement of Main Results Concerning the Divergence Theorem
Examples, Counterexamples, and Additional Perspectives
Measure Theoretical and Topological Rudiments
Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets
Tools from Harmonic Analysis
Quasi-Metric Spaces and Spaces of Homogenous Type
Open Sets with Locally Finite Surface Measures and Boundary Behavior
Proofs of Main Results Pertaining to the Divergence Theorem
II: Function Spaces Measuring Size and Smoothness on Rough Sets
Preliminary Functional Analytic Matters
Selected Topics in Distribution Theory
Hardy Spaces on Ahlfors Regular Sets
Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets
Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets
Boundary Traces from Weighted Sobolev Spaces in Besov Spaces
Besov and Triebel-Lizorkin Spaces in Open Sets
Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morney Spaces
Sobolev Spaces on the Geometric Measure Theoretic boundary of Sets of Locally Finite Perimeter
III: Integral Representations Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering
Integral Representations and Integral Identities
Calderón-Zygmund Theory on Uniformly Rectifiable Sets
Quantitative Fatou-Type Theorems in Arbitrary UR Domains
Scattering by Rough Obstacles
IV: Boundary Layer Potentials on Uniformly Rectifiable Domains, and Applications to Complex Analysis
Layer Potential Operators on Lebesgue and Sobolev Spaces
Layer Potential Operators on Hardy, BMO, VMO, and Hölder Spaces
Layer Potential Operators on Calderón, Morrey-Campanato, and Morrey Spaces
Layer Potential Operators Acting from Boundary Besov and Triebel-Lizorkin Spaces
Generalized double Layers in Uniformly Rectifiable Domains
Green Formulas and Layer Potential Operators for the Stokes System
Applications to Analysis in Several Complex Variables
V: Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems
Abstract Fredholm Theory
Distinguished Coefficient Tensors
Failure of Fredholm Solvability for Weakly Elliptic Systems
Quantifying Global and Infinitesimal Flatness
Norm Estimates and Invertibility Results for SIO's on Unbounded Boundaries
Estimating Chord-Dot-Normal SIO's on Domains with Compact Boundaries
The Radon-Carleman Problem
Fredholmness and Invertibility of Layer Potentials on Compact Boundaries
Green Functions and Uniqueness for Boundary Problems for Second-Order Systems
Green Functions and Poisson Kernels for the Laplacian
Boundary Value Problems for Elliptic Systems in Rough Domains
Prefacing this Series
Statement of Main Results Concerning the Divergence Theorem
Examples, Counterexamples, and Additional Perspectives
29.
ＥＢ
by Lars Tuset
目次情報:
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Preface
Set theoretic preliminaries
Banach spaces
Bases in Banach spaces
Operators on Hilbert spaces
Spectral theory
States and representations
Types of von Neumann algebras
Tensor products
Unbounded operators
Tomita-Takesaki theory
Spectra and type III factors
Quantum groups and duality
Special cases
Classical crossed products
Crossed products for quantum groups
Generalized and continuous crossed products
Basic construction and quantum groups
Galois objects and cocycle deformations
Doublecrossed products of quantum groups
Induction.-Appendix
Bibliography
Index
Exercises
Preface
Set theoretic preliminaries
Banach spaces
30.
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edited by Artur Avila, Michael Th. Rassias, Yakov Sinai
目次情報:
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On the joint spectral radius (E. Breuillard)
The failure of the fractal uncertainty principle for the Walsh-Fourier transform (C. Demeter)
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows (X. Fernández-Real)
On the Origins, Nature and Impact of Bourgain's Discretized Sum-Product Theorem (A. Gamburd)
Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of C2 (M. Goldstein)
A Weighted Prekopa-Leindler inequality and sumsets with quasicubes (B. Green)
Equidistribution of affine random walks on some nilmanifolds (E. Lindenstrauss)
Logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrodinger operators with smooth potentials (S. Jitomirskaya)
The slicing problem by Bourgain (B. Klartag)
On the work of Jean Bourgain in nonlinear dispersive equations (E. Kenig)
On Trace sets of restricted continued fraction semigroups (A. Kontorovich)
Polynomial Equations in Subgroups and Applications (V. Konyagin)
Exponential sums, twisted multiplicativity and moments (E. Kowalski)
The ternary Goldbach problem with a missing digit and other primes of special types (Th. Rassias)
A note on harmonious sets (Y. Franc cois Meyer)
On the multiplicative group generated by two primes in Z/QZ (P. Varju)
On the joint spectral radius (E. Breuillard)
The failure of the fractal uncertainty principle for the Walsh-Fourier transform (C. Demeter)
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows (X. Fernández-Real)
ＥＢ
