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From classical analysis to analysis on fractals = a tribute to Robert Strichartz.. Volume 1 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	From classical analysis to analysis on fractals/ edited by Patricia Alonso Ruiz ... [et al.].
其他題名:	a tribute to Robert Strichartz.
其他作者:	Alonso Ruiz, Patricia.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xvi, 290 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Differential Equations. -
電子資源:	https://doi.org/10.1007/978-3-031-37800-3
ISBN:	9783031378003

From classical analysis to analysis on fractals = a tribute to Robert Strichartz.. Volume 1 /
From classical analysis to analysis on fractalsa tribute to Robert Strichartz.Volume 1 /[electronic resource] :edited by Patricia Alonso Ruiz ... [et al.]. - Cham :Springer International Publishing :2023. - xvi, 290 p. :ill., digital ;24 cm. - Applied and numerical harmonic analysis,2296-5017. - Applied and numerical harmonic analysis..

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.

ISBN: 9783031378003

Standard No.: 10.1007/978-3-031-37800-3doiSubjects--Topical Terms:

681826
Differential Equations.

LC Class. No.: QA300 / .F76 2023

Dewey Class. No.: 515

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505 0 $a 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.
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