Интегральные операторы Фурье

書誌事項

Интегральные операторы Фурье

Л.Хёрмандер ; перевод с английского под редакцией М.А. Шубина

(Анализ линейных дифференциальных операторов с частными производными : в четырех томах / Л.Хёрмандер, 4)

"Мир", 1988

  • русск.
  • англ.

タイトル別名

Integralʹnye operatory Furʹe

Fourier integral operators

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注記

Translation of: Grundlehren der mathematischen Wissenschaften : a series of comprehensive studies in mathematics ; 275, The analysis of linear partial differential operators ; 4, Fourier integral operators

Originally published: Berlin : Springer , 1985

Bibliography: [419]-439

Includes index

内容説明・目次

内容説明

From the reviews: "Volumes III and IV complete L. Hormander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades...It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Bruning in Zentralblatt MATH, 1987 Honours awarded to Lars Hormander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006

目次

Lagrangian Distributions and Fourier Integral Operators.- Pseudo-Differential Operators of Principal Type.- Subelliptic Operators.- Uniqueness for the Cauchy Problem.- Spectral Asymptotics.- Long Range Scattering Theory.- Bibliography.- Index.- Index of Notation.

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