Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings /
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Author / Creator: | Lapidus, Michel L. (Michel Laurent), 1956- |
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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 |
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082 | 0 | 4 | |a 514.742 |2 22 |
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100 | 1 | |a Lapidus, Michel L. |q (Michel Laurent), |d 1956- |0 http://id.loc.gov/authorities/names/n85161723 |1 http://viaf.org/viaf/94975230 | |
245 | 1 | 0 | |a Fractal geometry, complex dimensions and zeta functions : |b geometry and spectra of fractal strings / |c Michel L. Lapidus, Machiel van Frankenhuijsen. |
260 | |a New York : |b Springer, |c c2006. | ||
300 | |a 1 online resource (xxii, 460 p.) : |b ill. | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
490 | 1 | |a Springer monographs in mathematics | |
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 | |
650 | 0 | |a Geometry, Riemannian. |0 http://id.loc.gov/authorities/subjects/sh85054159 | |
655 | 4 | |a Electronic books. | |
650 | 7 | |a Fractals. |2 fast |0 http://id.worldcat.org/fast/fst00933507 | |
650 | 7 | |a Functions, Zeta. |2 fast |0 http://id.worldcat.org/fast/fst00936136 | |
650 | 7 | |a Geometry, Riemannian. |2 fast |0 http://id.worldcat.org/fast/fst00940940 | |
700 | 1 | |a Van Frankenhuysen, Machiel, |d 1967- |0 http://id.loc.gov/authorities/names/n99256565 |1 http://viaf.org/viaf/94975248 | |
776 | 0 | 8 | |i Print version: |a Lapidus, Michel L. (Michel Laurent), 1956- |t Fractal geometry, complex dimensions and zeta functions. |d New York : Springer, c2006 |z 0387332855 |z 9780387332857 |w (DLC) 2006929212 |w (OCoLC)181159163 |
830 | 0 | |a Springer monographs in mathematics. |0 http://id.loc.gov/authorities/names/n97101238 | |
856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-0-387-35208-4 |y SpringerLink |
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