Microlocal Analysis for Differential Operators PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Microlocal Analysis for Differential Operators PDF full book. Access full book title Microlocal Analysis for Differential Operators by Alain Grigis. Download full books in PDF and EPUB format.
Author: Alain Grigis
Publisher: Cambridge University Press
ISBN: 9780521449861
Category : Mathematics
Languages : fr
Pages : 164
Get Book
Book Description
This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.
Author: Alain Grigis
Publisher: Cambridge University Press
ISBN: 9780521449861
Category : Mathematics
Languages : fr
Pages : 164
Get Book
Book Description
This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.
Author: André Bach
Publisher: Springer Science & Business Media
ISBN: 1475744951
Category : Mathematics
Languages : en
Pages : 193
Get Book
Book Description
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.
Author: Victor Ivrii
Publisher: Springer Science & Business Media
ISBN: 3662124963
Category : Mathematics
Languages : en
Pages : 736
Get Book
Book Description
The problem of spectral asymptotics, in particular the problem of the asymptotic dis tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl's conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened.
Author: Maciej Zworski
Publisher: American Mathematical Soc.
ISBN: 0821883208
Category : Mathematics
Languages : en
Pages : 448
Get Book
Book Description
"...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.
Author: Goro Kato
Publisher: CRC Press
ISBN: 1000148394
Category : Mathematics
Languages : en
Pages : 320
Get Book
Book Description
"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."
Author: T. Aoki
Publisher: Springer Science & Business Media
ISBN: 4431732403
Category : Mathematics
Languages : en
Pages : 349
Get Book
Book Description
This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the conference "Algebraic Analysis of Differential Equations – from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. This volume is dedicated to Professor Takahiro Kawai, who is one of the creators of microlocal analysis and who introduced the technique of microlocal analysis into exponential asymptotics.
Author: Frédéric Pham
Publisher: Springer Science & Business Media
ISBN: 0857296035
Category : Mathematics
Languages : en
Pages : 218
Get Book
Book Description
Bringing together two fundamental texts from Frédéric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in several variables and R. Thom’s isotopy theorems, Frédéric Pham’s foundational study of the singularities of integrals lies at the interface between analysis and algebraic geometry, culminating in the Picard-Lefschetz formulae. These mathematical structures, enriched by the work of Nilsson, are then approached using methods from the theory of differential equations and generalized from the point of view of hyperfunction theory and microlocal analysis. Providing a ‘must-have’ introduction to the singularities of integrals, a number of supplementary references also offer a convenient guide to the subjects covered. This book will appeal to both mathematicians and physicists with an interest in the area of singularities of integrals. Frédéric Pham, now retired, was Professor at the University of Nice. He has published several educational and research texts. His recent work concerns semi-classical analysis and resurgent functions.
Author: Masaki Kashiwara
Publisher: American Mathematical Soc.
ISBN: 9780821827666
Category : Mathematics
Languages : en
Pages : 276
Get Book
Book Description
Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory. Here, there is an emphasis on $b$-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara. A hot topic from the mid '70s to mid '80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public.
Author: Victor Ivrii
Publisher: Springer Nature
ISBN: 3030305570
Category : Mathematics
Languages : en
Pages : 889
Get Book
Book Description
The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
Author: Yurii Vladimirovich Egorov
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book
Book Description
