New Trends In Microlocal Analysis
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New Trends In Microlocal Analysis
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Author : J. M. Bony
language : en
Publisher:
Release Date : 1996-12-04
New Trends In Microlocal Analysis written by J. M. Bony and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-04 with categories.
New Trends In Microlocal Analysis
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Author : J.-M. Bony
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Trends In Microlocal Analysis written by J.-M. Bony and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Advances In Microlocal Analysis
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Author : H.G. Garnir
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Microlocal Analysis written by H.G. Garnir and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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 Methods In Mathematical Physics And Global Analysis
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Author : Daniel Grieser
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-13
Microlocal Methods In Mathematical Physics And Global Analysis written by Daniel Grieser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Mathematics categories.
Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.
Microlocal Analysis For Differential Operators
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Author : Alain Grigis
language : fr
Publisher: Cambridge University Press
Release Date : 1994-03-03
Microlocal Analysis For Differential Operators written by Alain Grigis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-03 with Mathematics categories.
This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.
Algebraic Analysis Of Differential Equations
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Author : T. Aoki
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-15
Algebraic Analysis Of Differential Equations written by T. Aoki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-15 with Mathematics categories.
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.
Recent Trends In Toeplitz And Pseudodifferential Operators
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Author : Roland V. Duduchava
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-04
Recent Trends In Toeplitz And Pseudodifferential Operators written by Roland V. Duduchava and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-04 with Mathematics categories.
The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.
Around Microlocal Analysis
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Author : J. M. Bony
language : en
Publisher:
Release Date : 2003
Around Microlocal Analysis written by J. M. Bony and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
New Trends In The Theory Of Hyperbolic Equations
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Author : Michael Reissig
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-21
New Trends In The Theory Of Hyperbolic Equations written by Michael Reissig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-21 with Mathematics categories.
Presenting several developments in the theory of hyperbolic equations, this book's contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.
Microlocal Analysis
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Author : M. Salah Baouendi
language : en
Publisher:
Release Date : 1984
Microlocal Analysis written by M. Salah Baouendi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Analyse mathématique categories.
This volume is the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Microlocal Analysis and its Applications to Partial Differential Equations, held July 10-16, 1983 in Boulder, Colorado. It contains refereed articles which were delivered at the conference. Two of the papers are survey articles, one on uniqueness and non-uniqueness in the Cauchy problem and one on hypoanalytic structures; the rest are either detailed announcements or complete papers covering such areas as spectrum of operators, nonlinear problems, asymptotics, pseudodifferential operators of multiple characteristics and operators on groups and homogeneous spaces. The volume should be useful to active mathematicians and graduate students working on linear and nonlinear partial differential equations and related areas.