Foundations of Algebraic Analysis (PMS-37), Volume 37 / Masaki Kashiwara, Tatsuo Kimura, Takahiro Kawai.

Format:

Book

Author/Creator:

Kashiwara, Masaki, author.

Kawai, Takahiro, author.

Kimura, Tatsuo, author.

Contributor:

Kato, Goro.

Series:

Princeton legacy library.

Princeton mathematical series ; 37.

Princeton Mathematical Series ; 5158

Language:

English

Subjects (All):

Mathematical analysis.

Algebra.

Physical Description:

1 online resource (268 pages) : illustrations.

Edition:

Princeton Legacy Library edition.

Place of Publication:

Princeton, NJ : Princeton University Press, [2017]

Language Note:

In English.

Summary:

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.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Contents:

Frontmatter

Contents

Preface

Notations

Chapter I. Hyperfunctions

Chapter II. Microfunctions

Chapter III. Fundamental Operations

Chapter IV. Microdifferential Operators

References

Index

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9780691654997

0691654999

9780691628325

0691628327

OCLC:

973753016