Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings /

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Bibliographic Details
Author / Creator:Lapidus, Michel L. (Michel Laurent), 1956-
Imprint:New York : Springer, c2006.
Description:1 online resource (xxii, 460 p.) : ill.
Language:English
Series:Springer monographs in mathematics
Springer monographs in mathematics.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8878793
Hidden Bibliographic Details
Other authors / contributors:Van Frankenhuysen, Machiel, 1967-
ISBN:9780387352084
0387352082
9780387332857 (acid-free paper)
0387332855 (acid-free paper)
6610969922
9786610969920
Notes:Includes bibliographical references and indexes.
Description based on print version record.
Other form:Print version: Lapidus, Michel L. (Michel Laurent), 1956- Fractal geometry, complex dimensions and zeta functions. New York : Springer, c2006 0387332855 9780387332857

MARC

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504 |a Includes bibliographical references and indexes. 
505 0 |a Complex dimensions of ordinary fractal strings -- Complex dimensions of self-similar fractal strings -- Complex dimensions of nonlattice self-similar strings: quasiperiodic patterns and diophantine approximation -- Generalized fractal strings viewed as measures -- Explicit formulas for generalized fractal strings -- The geometry and the spectrum of fractal strings -- Periodic orbits of self-similar flows -- Tubular neighborhoods and Minkowski measurability -- The Riemann hypothesis and inverse spectral problems -- Generalized Cantor strings and their oscillations -- The critical zeros of zeta functions -- Concluding comments, open problems, and perspectives -- Zeta functions in number theory -- Zeta functions of Laplacians and spectral asymptotics -- An application of Nevanlinna theory. 
588 |a Description based on print version record. 
650 0 |a Fractals.  |0 http://id.loc.gov/authorities/subjects/sh85051147 
650 0 |a Functions, Zeta.  |0 http://id.loc.gov/authorities/subjects/sh85052354 
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