Fractal Zeta Functions and Fractal Drums

Fractal Zeta Functions and Fractal Drums

Higher-Dimensional Theory of Complex Dimensions

Lapidus, Michel L.; Zubrinic, Darko; Radunovic, Goran

Springer International Publishing AG

07/2018

655

Mole

Inglês

9783319831152

15 a 20 dias

1056

Descrição não disponível.
Overview.- Preface.- List of Figures.- Key Words.- Selected Key Results.- Glossary.- 1. Introduction.- 2 Distance and Tube Zeta Functions.- 3. Applications of Distance and Tube Zeta Functions.- 4. Relative Fractal Drums and Their Complex Dimensions.- 5.Fractal Tube Formulas and Complex Dimensions.- 6. Classification of Fractal Sets and Concluding Comments.- Appendix A. Tame Dirchlet-Type Integrals.- Appendix B. Local Distance Zeta Functions.- Appendix C. Distance Zeta Functions and Principal Complex Dimensions of RFDs.- Acknowledgements.- Bibliography.- Author Index.- Subject Index.
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Minkowski measureable;distance zeta function;fractal drum;fractal set;fractal zeta function;tube zeta function;zeta function;geometric zeta function;fractal string;relative fractal drum;Minkowski content;Dirichlet series;cone property;exponent sequence;Cantor set