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Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions

Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions

Paperback

Series: Springer Monographs in Mathematics

General Mathematics

ISBN10: 3319831151
ISBN13: 9783319831152
Publisher: Springer
Published: Jul 28 2018
Pages: 655
Weight: 2.12
Height: 1.40 Width: 6.14 Depth: 9.21
Language: English
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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Lapidus, Michel L.

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General Mathematics