Foundations of Algebraic Analysis (Princeton Mathematical Series, 37) - Hardcover

Book 15 of 29: Princeton Mathematical

Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo

 
9780691084138: Foundations of Algebraic Analysis (Princeton Mathematical Series, 37)
Hardcover
ISBN 10: 0691084130 ISBN 13: 9780691084138
Publisher: Princeton University Press, 1986

Synopsis

The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device.

The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations.

Originally published in 1986.

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Language Notes

Text: English, Japanese (translation)

"About this title" may belong to another edition of this title.

Publisher
Princeton University Press
Publication date
1986
Language
English
ISBN 10 
0691084130
ISBN 13 
9780691084138
Binding
Hardcover
Edition number
1
Number of pages
269

Other Popular Editions of the Same Title

9780691628325: Foundations of Algebraic Analysis (Princeton Mathematical Series, 37)

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ISBN 10:  0691628327 ISBN 13:  9780691628325
Publisher: Princeton University Press, 2017
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