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MARC 21

Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings
Tag	Description
020	$a9781461421764
082	$a512.7
099	$aOnline Resource: Springer
100	$aLapidus, Michel L.(Michel Laurent)$d1956-
245	$aFractal Geometry, Complex Dimensions and Zeta Functions$h[Ebook]$bGeometry and Spectra of Fractal Strings$cby Michel L. Lapidus, Machiel van Frankenhuijsen.
250	$a2nd ed. 2013.
260	$aNew York$bSpringer
260	$c2013.
300	$aXXVI, 567 pages : 73 illus.$bonline resource.
336	$atext
338	$aonline resource
440	$aSpringer Monographs in Mathematics,$x1439-7382
505	$aPreface -- 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$avan Frankenhuijsen, Machiel.$eauthor.
710	$aSpringerLink (Online service)
830	$aSpringer Monographs in Mathematics,
856	$uhttp://dx.doi.org/10.1007/978-1-4614-2176-4