9780387332857
IR
EN-52954
انگلیسی
IR
Fractal geometry, complex dimensions and zeta functions
[Book]
:geometry and spectra of fractal strings
/ Michel L. Lapidus, Machiel van Frankenhuijsen
New York
: Springer,
, c2006.
xxii, 460 p. , ill.
(Springer monographs in mathematics)
Electronic
Includes bibliographical references and indexes.
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.
Springer monographs in mathematics
Fractals
Functions, Zeta
Geometry, Riemannian
E-BOOK
Lapidus, Michel L. (Michel Laurent), 1956-
Van Frankenhuysen, Machiel, 1967-
ایران
9780387332857.pdf
عادی
عادی
9780387332857.pdf
متن
old catalog
e
BL
1
a
Y
