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101 0 $aeng
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200 10$aFrom Classical Analysis to Analysis on Fractals$b[electronic resource] $eA Tribute to Robert Strichartz, Volume 1 /$fedited by Patricia Alonso Ruiz, Michael Hinz, Kasso A. Okoudjou, Luke G. Rogers, Alexander Teplyaev
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023.
215   $a1 online resource (294 pages)
225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5017
311 08$aPrint version: Alonso Ruiz, Patricia From Classical Analysis to Analysis on Fractals Cham : Springer International Publishing AG,c2023 9783031377990 
327   $aPart I. Introduction to this volume -- From Strichartz Estimates to Differential Equations on Fractals -- Part II. Functional and harmonic analysis on Euclidean spaces -- A new proof of Strichartz estimates for the Schrödinger equation in 2 + 1 dimensions -- Modulational instability of classical water waves -- Convergence Analysis of the Deep Galerkin Method for Weak Solutions -- The 4-player gambler?s ruin problem -- Part III. Analysis on Manifolds -- Product Manifolds with Improved Spectral Cluster and Weyl Remainder Estimates -- A scalar valued Fourier transform for the Heisenberg group -- Asymptotic behavior of the heat semigroup on certain Riemannian manifolds -- Part IV. Intrinsic Analysis on Fractals -- Fourier Series for Fractals in 2 Dimensions -- Blowups and Tops of Overlapping Iterated Function Systems -- Estimates of the local spectral dimension of the Sierpinski gasket -- Heat kernel fluctuations for stochastic processes on fractals and random media -- Index.
330   $aOver the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections ? functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals ? and explore Strichartz? contributions to these areas, as well as some of the latest developments.
410  0$aApplied and Numerical Harmonic Analysis,$x2296-5017
606   $aFunctional analysis
606   $aHarmonic analysis
606   $aProbabilities
606   $aMeasure theory
606   $aDifferential equations
606   $aFunctional Analysis
606   $aAbstract Harmonic Analysis
606   $aProbability Theory
606   $aMeasure and Integration
606   $aDifferential Equations
615  0$aFunctional analysis.
615  0$aHarmonic analysis.
615  0$aProbabilities.
615  0$aMeasure theory.
615  0$aDifferential equations.
615 14$aFunctional Analysis.
615 24$aAbstract Harmonic Analysis.
615 24$aProbability Theory.
615 24$aMeasure and Integration.
615 24$aDifferential Equations.
676   $a515
700   $aAlonso Ruiz$b Patricia$01434309
701   $aHinz$b Michael$0521202
701   $aOkoudjou$b Kasso A$01255198
701   $aRogers$b Luke G$01434310
701   $aTeplyaev$b Alexander$01434311
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910754088903321
996   $aFrom Classical Analysis to Analysis on Fractals$93587961
997   $aUNINA