Microlocal Analysis and Applications

Microlocal Analysis and Applications
Author :
Publisher : Springer
Total Pages : 357
Release :
ISBN-10 : 9783540466031
ISBN-13 : 3540466037
Rating : 4/5 (31 Downloads)

Synopsis Microlocal Analysis and Applications by : Lamberto Cattabriga

CONTENTS: J.M. Bony: Analyse microlocale des equations aux derivees partielles non lineaires.- G.G. Grubb: Parabolic pseudo-differential boundary problems and applications.- L. H|rmander: Quadratic hyperbolic operators.- H. Komatsu: Microlocal analysis in Gevrey classes and in complex domains.- J. Sj|strand: Microlocal analysis for the periodic magnetic Schr|dinger equation and related questions.

An Index and Other Useful Information

An Index and Other Useful Information
Author :
Publisher : Springer
Total Pages : 82
Release :
ISBN-10 : 9781489945815
ISBN-13 : 1489945814
Rating : 4/5 (15 Downloads)

Synopsis An Index and Other Useful Information by : A. Dold

Spectral Analysis of Differential Operators

Spectral Analysis of Differential Operators
Author :
Publisher : World Scientific
Total Pages : 463
Release :
ISBN-10 : 9789812562760
ISBN-13 : 9812562761
Rating : 4/5 (60 Downloads)

Synopsis Spectral Analysis of Differential Operators by : Fedor S. Rofe-Beketov

- Detailed bibliographical comments and some open questions are given after each chapter - Indicates connections between the content of the book and many other topics in mathematics and physics - Open questions are formulated and commented with the intention to attract attention of young mathematicians

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
Author :
Publisher : Springer Science & Business Media
Total Pages : 540
Release :
ISBN-10 : 9789400959880
ISBN-13 : 9400959885
Rating : 4/5 (80 Downloads)

Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Methods of the Theory of Generalized Functions

Methods of the Theory of Generalized Functions
Author :
Publisher : CRC Press
Total Pages : 332
Release :
ISBN-10 : 0415273560
ISBN-13 : 9780415273565
Rating : 4/5 (60 Downloads)

Synopsis Methods of the Theory of Generalized Functions by : V. S. Vladimirov

This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.

Algebraic Analysis

Algebraic Analysis
Author :
Publisher : Academic Press
Total Pages : 495
Release :
ISBN-10 : 9781483268026
ISBN-13 : 1483268020
Rating : 4/5 (26 Downloads)

Synopsis Algebraic Analysis by : Masaki Kashiwara

Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of his 60th Birthday, Volume I is a collection of research papers on algebraic analysis and related topics in honor to Professor Mikio Sato's 60th birthday. This volume is composed of 35 chapters and begins with papers concerning Sato's early career in algebraic analysis. The succeeding chapters deal with research works on the existence of local holomorphic solutions, the holonomic q-difference systems, partial differential equations, and the properties of solvable models. Other chapters explore the fundamentals of hypergeometric functions, the Toda lattice in the complex domain, the Lie algebras, b-functions, p-adic integrals, analytic parameters of hyperfunctions, and some applicatioins of microlocal energy methods to analytic hypoeellipticity. This volume also presents studies on the complex powers of p-adic fields, operational calculus, extensions of microfunction sheaves up to the boundary, and the irregularity of holonomic modules. The last chapters feature research works on error analysis of quadrature formulas obtained by variable transformation and the analytic functional on the complex light cone, as well as their Fourier-Borel transformations. This book will prove useful to mathematicians and advance mathematics students.

Hyperfunctions and Theoretical Physics

Hyperfunctions and Theoretical Physics
Author :
Publisher : Springer
Total Pages : 227
Release :
ISBN-10 : 9783540374541
ISBN-13 : 354037454X
Rating : 4/5 (41 Downloads)

Synopsis Hyperfunctions and Theoretical Physics by : F.L. Pham