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Foundations of Algebraic Analysis (PMS-37), Volume 37 (Hardcover)
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Foundations of Algebraic Analysis (PMS-37), Volume 37 (Hardcover)
Series: Princeton Legacy Library
Expected to ship within 10 - 15 working days
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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.
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