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vls/2603nrwcece.visuallibrary.netvdAn invitation to fractal geometryfractal dimensions, self-similarity, and fractal curvesLapidus, Michel L.1956-VerfasserautRadunović, GoranVerfasserauttextTextbookxxuXD-USProvidence, Rhode IslandAmerican Mathematical Society[2024]2024monographicengprintxxvii, 600 Seiten Illustrationenohne Hilfsmittel zu benutzenBandMichel L. Lapidus, Goran RadunovićIncludes bibliographical references and indexFractalsNumber theory -- Zeta and $L$-functions: analytic theory -- Other Dirichlet series and zeta functionsMeasure and integration -- Classical measure theory -- Contents, measures, outer measures, capacitiesMeasure and integration -- Classical measure theory -- Length, area, volume, other geometric measure theoryMeasure and integration -- Classical measure theory -- FractalsMeasure and integration -- Set functions, measures and integrals with values in abstract spaces -- Set functions, measures and integrals with values in ordered spacesFunctions of a complex variable -- Entire and meromorphic functions, and related topics -- Representations of entire functions by series and integralsPartial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctionsHarmonic 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 transformsGlobal analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Boundary value problems on manifoldsNumber 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 theoryDynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systemsDynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Dimension theory of dynamical systemsSequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of integralsHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Function spaces arising in harmonic analysisHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDEIntegral transforms, operational calculus -- Integral transforms, operational calculus -- Laplace transformIntegral equations -- Inverse problems -- Inverse problemsQuantum theory -- General mathematical topics and methods in quantum theory -- Semiclassical techniques, including WKB and Maslov methods514/.74211M41 28A12 28A75 28A80 28B15 30D10 35P20 42B20 44A05 58J32 11M06 30D30 37C30 37C45 40A10 42B35 42B37 44A10 45Q05 81Q20978147047623697814704789572024036229148557639499375370106706441HT030956125Online-Ausgabe10.1090/gsm/247Online-Ausgabe, ebook9781470478964Graduate studies in mathematics247(DE-605)HT004977518rda25022520250429105816.02562971ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2562971 https://ce.visuallibrary.net/id/1337829 https://ce.visuallibrary.net/i3f/v20/1337829/manifest https://ce.visuallibrary.net/proto_ftsearch/1337829