超局所解析入門（テキスト） An Introduction to Microlocal Analysis (Graduate Texts in Mathematics 304) （2025. xv, 373 S. XV, 373 p. 35 illus., 22 illus. in color. 235 mm）

超局所解析入門（テキスト）<br>An Introduction to Microlocal Analysis (Graduate Texts in Mathematics 304) （2025. xv, 373 S. XV, 373 p. 35 illus., 22 illus. in color. 235 mm）

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超局所解析入門（テキスト）
An Introduction to Microlocal Analysis (Graduate Texts in Mathematics 304) （2025. xv, 373 S. XV, 373 p. 35 illus., 22 illus. in color. 235 mm）

Hintz, Peter

SPRINGER, BERLIN; SPRINGER（2025発売）

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製本 Hardcover:ハードカバー版
商品コード 9783031907050

Full Description

Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides an accessible introduction and develops, from first principles, the core notions and results including pseudodifferential operators, wave front sets, and propagation phenomena. The reader is assumed to have some exposure to functional analysis and the theory of smooth manifolds. With detailed proofs, a wealth of exercises of varying levels of difficulty, and connections to contemporary research in general relativity, the book serves as both a comprehensive textbook for graduate students and a useful reference for researchers.