Indian Statistical Institute Library, Kolkata catalog

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Lapidus, Michel L. Fractal Geometry, Complex Dimensions and Zeta Functions Geometry and Spectra of Fractal Strings / by Michel L. Lapidus, Machiel van Frankenhuijsen. -
XXIV, 460 p. 54 illus. online resource. - (Springer Monographs in Mathematics, ) Content notes : 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. 9780387352084 * Topology. Number theory. Mathematics. Differential equations, partial. Differentiable dynamical systems. Global analysis. Topology. Number Theory. Measure and Integration. Partial Differential Equations. Dynamical Systems and Ergodic Theory. Global Analysis and Analysis on Manifolds. * Frankenhuijsen, Machiel van., aut, http://id.loc.gov/vocabulary/relators/aut * Title * Series