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    Titel
    An invitation to fractal geometry : fractal dimensions, self-similarity, and fractal curves / Michel L. Lapidus, Goran Radunović
    VerfasserLapidus, Michel L. ; Radunović, Goran
    ErschienenProvidence, Rhode Island : American Mathematical Society, [2024]
    Umfangxxvii, 600 Seiten Illustrationen
    Anmerkung
    Includes bibliographical references and index
    Serie
    Graduate studies in mathematics ; 247
    SchlagwörterFractals / Number theory -- Zeta and $L$-functions: analytic theory -- Other Dirichlet series and zeta functions / Measure and integration -- Classical measure theory -- Contents, measures, outer measures, capacities / Measure and integration -- Classical measure theory -- Length, area, volume, other geometric measure theory / Measure and integration -- Classical measure theory -- Fractals / Measure and integration -- Set functions, measures and integrals with values in abstract spaces -- Set functions, measures and integrals with values in ordered spaces / Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Representations of entire functions by series and integrals / Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions / Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.) / Integral transforms, operational calculus -- Integral transforms, operational calculus -- General transforms / Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Boundary value problems on manifolds / Number theory -- Zeta and $L$-functions: analytic theory -- $\zeta (s)$ and $L(s, \chi)$ / Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Meromorphic functions, general theory / Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems / Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Dimension theory of dynamical systems / Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of integrals / Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Function spaces arising in harmonic analysis / Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE / Integral transforms, operational calculus -- Integral transforms, operational calculus -- Laplace transform / Integral equations -- Inverse problems -- Inverse problems / Quantum theory -- General mathematical topics and methods in quantum theory -- Semiclassical techniques, including WKB and Maslov methods
    ISBN9781470476236
    ISBN9781470478957
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