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Preface |
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Overview |
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Introduction |
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1. Complex Dimensions of Ordinary Fractal Strings |
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2. Complex Dimensions of Self-Similar Fractal Strings |
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3. Complex Dimensions of Nonlattice Self-Similar Strings |
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4. Generalized Fractal Strings Viewed as Measures |
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5. Explicit Formulas for Generalized Fractal Strings |
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6. The Geometry and the Spectrum of Fractal Strings |
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7. Periodic Orbits of Self-Similar Flows |
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8. Fractal Tube Formulas |
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9. Riemann Hypothesis and Inverse Spectral Problems |
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10. Generalized Cantor Strings and their Oscillations |
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11. Critical Zero of Zeta Functions |
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12 Fractality and Complex Dimensions |
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13. Recent Results and Perspectives |
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Appendix A. Zeta Functions in Number Theory |
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Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics |
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Appendix C. An Application of Nevanlinna Theory |
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Bibliography |
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Author Index |
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Subject Index |
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Index of Symbols |
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Conventions |
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Acknowledgements |
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ＥＢ
