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New Trends in Microlocal Analysis, J.-M. Bony; M. Morimoto


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Автор: J.-M. Bony; M. Morimoto
Название:  New Trends in Microlocal Analysis
ISBN: 9784431684152
Издательство: Springer
Классификация: ISBN-10: 4431684158
Обложка/Формат: Paperback
Страницы: 242
Вес: 0.36 кг.
Дата издания: 12.02.2012
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Microlocal analysis began around 1970 when Mikio Sato, along with coauthors Masaki Kashiwara and Takahiro Kawai, wrote a decisive article on the structure of pseudodifferential equations, thus laying the foundation of D-modules and the singular spectrums of hyperfunctions. The key idea is the analysis of problems on the phase space, i.e., the cotangent bundle of the base space. Microlocal analysis is an active area of mathematical research that has been applied to many fields such as real and complex analysis, representation theory, topology, number theory, and mathematical physics. This volume contains the presentations given at a seminar jointly organized by the Japan Society for the Promotion of Science and Centre National des Recherches Scientifiques entitled New Trends in Microlocal Analysis. The book is divided into three parts: partial differential equations and mathematical analysis, mathematical physics, and algebraic analysis - D-modules and sheave theory. The large variety of new research that is covered will prove invaluable to students and researchers alike.


Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory

Автор: D. Iagolnitzer
Название: Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory
ISBN: 3540099964 ISBN-13(EAN): 9783540099963
Издательство: Springer
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Описание: International Colloquium on Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory

Advances in Microlocal Analysis

Автор: H.G. Garnir
Название: Advances in Microlocal Analysis
ISBN: 9027721955 ISBN-13(EAN): 9789027721952
Издательство: Springer
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Цена: 33541.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Castelvecchio Pascoli, Lucca, Italy, September 2-12, 1985

Microlocal Analysis and Spectral Theory

Автор: Luigi Rodino
Название: Microlocal Analysis and Spectral Theory
ISBN: 9401063710 ISBN-13(EAN): 9789401063715
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September-3 October 1996

Advances in Microlocal Analysis

Автор: H.G. Garnir
Название: Advances in Microlocal Analysis
ISBN: 9401085463 ISBN-13(EAN): 9789401085465
Издательство: Springer
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Описание: The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized: "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri- butions which led recently to the birth of a new branch of Mathema- tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.

Microlocal Analysis and Applications

Автор: J.M. Bony; Lamberto Cattabriga; G. Grubb; Luigi Ro
Название: Microlocal Analysis and Applications
ISBN: 354054948X ISBN-13(EAN): 9783540549482
Издательство: Springer
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Цена: 4884.00 р.
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Описание: This volume is comprised of a series of lectures given during a mathematical conference on partial differential equations and Schroedinger equations.

Microlocal Analysis and Nonlinear Waves

Автор: Michael Beals; Richard B. Melrose; Jeffrey Rauch
Название: Microlocal Analysis and Nonlinear Waves
ISBN: 1461391385 ISBN-13(EAN): 9781461391388
Издательство: Springer
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Цена: 16769.00 р.
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Описание: If P( t, x, Dt,x) is a strictly hyperbolic operator or system then the singular support of f gives an upper bound for the singular support of u (Courant-Lax, Lax, Ludwig), namely singsupp u C the union of forward rays passing through the singular support of f.

Microlocal Analysis and Precise Spectral Asymptotics

Автор: Victor Ivrii
Название: Microlocal Analysis and Precise Spectral Asymptotics
ISBN: 3540627804 ISBN-13(EAN): 9783540627807
Издательство: Springer
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Цена: 20263.00 р.
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Описание: 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; to provide furt her progress and only a couple of not very exciting problems remained to be solved.

An Introduction to Semiclassical and Microlocal Analysis

Автор: Andr? Bach
Название: An Introduction to Semiclassical and Microlocal Analysis
ISBN: 1441929614 ISBN-13(EAN): 9781441929617
Издательство: Springer
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Описание: The following lecture notes correspond to a course taught for several years, first at the University of Paris-Nord (France) and then at the University of Bologna (Italy). They are mainly addressed to nonspecialists in the subject, and their purpose is to present in a pedagogical way most of the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics. Both the standard Coo pseudodifferential calculus and the analytic microlocal analysis are developed, in a context that remains intentionally global so that only the relevant difficulties of the theory are encountered. The main original- ity lies in the fact that we derive all the main features of analytic microlocal analysis from a single a priori estimate, which turns out to be elementary once the Coo pseudodifferential calculus is established. Various detailed exercises are given at the end of the main chapters, most of them being easily solvable by students. Besides illustrating the main results of the lecture, their aim is also to introduce the reader to various further developments of the theory, such as the functional calculus of pseudodifferential operators, properties of the analytic wave front set, Gevrey classes, the use of coherent states, the notion of semiclassical measures, WKB constructions. Applications to the study of the Schrodinger operator are also discussed in the text, so that they may help the understanding of new notions or general results where they appear by replacing them in the context of quantum mechanics.

Microlocal Analysis and Precise Spectral Asymptotics

Автор: Victor Ivrii
Название: Microlocal Analysis and Precise Spectral Asymptotics
ISBN: 3642083072 ISBN-13(EAN): 9783642083075
Издательство: Springer
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Цена: 20263.00 р.
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Описание: 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; to provide furt her progress and only a couple of not very exciting problems remained to be solved.

Classical Microlocal Analysis in the Space of Hyperfunctions

Автор: Seiichiro Wakabayashi
Название: Classical Microlocal Analysis in the Space of Hyperfunctions
ISBN: 3540676031 ISBN-13(EAN): 9783540676034
Издательство: Springer
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Описание: 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.


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