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Algebraic and Analytic Microlocal Analysis

2018-12-19 Mathematics
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Release : 2018-12-19
Genre : Mathematics
Kind : eBook
Book Rating : 882/5 ( reviews)

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Book Synopsis Algebraic and Analytic Microlocal Analysis by : Michael Hitrik

Download or read book Algebraic and Analytic Microlocal Analysis written by Michael Hitrik. This book was released on 2018-12-19. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of Kӓhler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.

Fundamentals of Algebraic Microlocal Analysis

2020-08-11 Mathematics
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Release : 2020-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 180/5 ( reviews)

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Book Synopsis Fundamentals of Algebraic Microlocal Analysis by : Goro Kato

Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato. This book was released on 2020-08-11. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."

Classical Microlocal Analysis in the Space of Hyperfunctions

2007-05-06 Mathematics
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Release : 2007-05-06
Genre : Mathematics
Kind : eBook
Book Rating : 617/5 ( reviews)

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Book Synopsis Classical Microlocal Analysis in the Space of Hyperfunctions by : Seiichiro Wakabayashi

Download or read book Classical Microlocal Analysis in the Space of Hyperfunctions written by Seiichiro Wakabayashi. This book was released on 2007-05-06. Available in PDF, EPUB and Kindle. Book excerpt: The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.

Microlocal Analysis and Complex Fourier Analysis

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 594/5 ( reviews)

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Book Synopsis Microlocal Analysis and Complex Fourier Analysis by : Keiko Fujita

Download or read book Microlocal Analysis and Complex Fourier Analysis written by Keiko Fujita. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics. Most of the papers originate from the talks given at the conference OC Prospects of Generalized FunctionsOCO (in November, 2001 at RIMS, Kyoto). Reflecting the fact that the papers, except M Morimoto''s one, are dedicated to Mitsuo Morimoto, the subjects considered in this book are interdisciplinary, just as Morimoto''s works are. The historical backgrounds of the subjects are also discussed in depth in some contributions. Thus, this book should be valuable not only to the specialists in the fields, but also to those who are interested in the history of modern mathematics such as distributions and hyperfunctions."

An Introduction to Semiclassical and Microlocal Analysis

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 951/5 ( reviews)

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Book Synopsis An Introduction to Semiclassical and Microlocal Analysis by : André Bach

Download or read book An Introduction to Semiclassical and Microlocal Analysis written by André Bach. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical, way and is mainly addressed to non-specialists in the subject. It is based on lectures taught by the author over several years, and includes many exercises providing outlines of useful applications of the semi-classical theory.

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