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＜電子ブック＞
From Classical Analysis to Analysis on Fractals : A Tribute to Robert Strichartz, Volume 1 / edited by Patricia Alonso Ruiz, Michael Hinz, Kasso A. Okoudjou, Luke G. Rogers, Alexander Teplyaev
(Applied and Numerical Harmonic Analysis. ISSN:22965017)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XVI, 290 p. 27 illus., 15 illus. in color : online resource
著者標目	Alonso Ruiz, Patricia editor Hinz, Michael editor Okoudjou, Kasso A editor Rogers, Luke G editor Teplyaev, Alexander editor SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Harmonic analysis LCSH:Probabilities LCSH:Measure theory LCSH:Differential equations FREE:Functional Analysis FREE:Abstract Harmonic Analysis FREE:Probability Theory FREE:Measure and Integration FREE:Differential Equations
一般注記	Part 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 Over 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 HTTP:URL=https://doi.org/10.1007/978-3-031-37800-3

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