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Contact Geometry and Linear Differential Equations : Manuels de Linguistique Et Des Sciences de Communication - Vladimir E. Nazaikinskii

Contact Geometry and Linear Differential Equations

Manuels de Linguistique Et Des Sciences de Communication

Hardcover Published: 1st September 1992
ISBN: 9783110133813
Number Of Pages: 223
For Ages: 22+ years old

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The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Homogeneous functions, Fourier transformation, and contact structuresp. 1
Integration on manifoldsp. 1
Analysis on RP[superscript n] and smooth homogeneous functions on [actual symbol not reproducible]p. 11
Homogeneous and formally homogeneous distributionsp. 24
Fourier transformation of homogeneous functionsp. 30
Homogeneous symplectic and contact structuresp. 44
Functorial properties of the phase space and local representation of Lagrangian manifolds. The classification lemmap. 63
Fourier-Maslov operatorsp. 78
Maslov's canonical operator (R[subscript *]-equivariant theory)p. 78
Fourier-Maslov integral operatorsp. 112
Singularities of hyperbolic equations; examples and applicationsp. 137
Applications to differential equationsp. 149
Equations of principal typep. 149
Microlocal classification of pseudodifferential operatorsp. 175
Equations of subprincipal typep. 192
Referencesp. 211
Indexp. 215
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110133813
ISBN-10: 3110133814
Series: Manuels de Linguistique Et Des Sciences de Communication
Audience: General
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 223
Published: 1st September 1992
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 24.28 x 17.37  x 1.63
Weight (kg): 0.5