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Catalogue Information
Field name	Details
Dewey Class	512.7
Title	Fractal Geometry, Complex Dimensions and Zeta Functions ([Ebook]) : Geometry and Spectra of Fractal Strings / by Michel L. Lapidus, Machiel van Frankenhuijsen.
Author	Lapidus, Michel L.(Michel Laurent) , 1956-
Added Personal Name	van Frankenhuijsen, Machiel
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2013.
Publication	New York : Springer
Publication	, 2013.
Physical Details	XXVI, 567 pages : 73 illus. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9781461421764
Contents note	Preface -- Overview -- Introduction -- 1. Complex Dimensions of Ordinary Fractal Strings -- 2. Complex Dimensions of Self-Similar Fractal Strings -- 3. Complex Dimensions of Nonlattice Self-Similar Strings -- 4. Generalized Fractal Strings Viewed as Measures -- 5. Explicit Formulas for Generalized Fractal Strings -- 6. The Geometry and the Spectrum of Fractal Strings -- 7. Periodic Orbits of Self-Similar Flows -- 8. Fractal Tube Formulas -- 9. Riemann Hypothesis and Inverse Spectral Problems -- 10. Generalized Cantor Strings and their Oscillations -- 11. Critical Zero of Zeta Functions -- 12 Fractality and Complex Dimensions -- 13. Recent Results and Perspectives -- Appendix A. Zeta Functions in Number Theory -- Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics -- Appendix C. An Application of Nevanlinna Theory -- Bibliography -- Author Index -- Subject Index -- Index of Symbols -- Conventions -- Acknowledgements.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-2176-4
Links to Related Works	Subject References: Differentiable dynamical systems . Differential equations, Partial . Dynamical systems and ergodic theory . Functional Analysis . Global analysis . Global Analysis and Analysis on Manifolds . Mathematics . Partial differential equations . Zeta functions . Authors: author . Lapidus, Michel L.(Michel Laurent) 1956- . van Frankenhuijsen, Machiel . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 512.7 . 512.7 (DDC 23) .

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Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings

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