Cantitate/Preț
Produs

Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators: University Series in Mathematics

Autor Jean-François Treves
en Limba Engleză Paperback – 13 dec 2013
I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters usually begin with a section in which the construction of special solutions of linear partial differential equations is carried out, constructions from which the subsequent theory has emerged and which continue to motivate it: parametrices of elliptic equations in Chapter I (introducing pseudodifferen­ tial operators of type 1, 0, which here are called standard), of hypoelliptic equations in Chapter IV (devoted to pseudodifferential operators of type p, 8), fundamental solutions of strongly hyperbolic Cauchy problems in Chap­ ter VI (which introduces, from a "naive" standpoint, Fourier integral operators), and of certain nonhyperbolic forward Cauchy problems in Chapter X (Fourier integral operators with complex phase). Several chapters-II, III, IX, XI, and XII-are devoted entirely to applications. Chapter II provides all the facts about pseudodifferential operators needed in the proof of the Atiyah-Singer index theorem, then goes on to present part of the results of A. Calderon on uniqueness in the Cauchy problem, and ends with a new proof (due to J. J. Kohn) of the celebrated sum-of-squares theorem of L. Hormander, a proof that beautifully demon­ strates the advantages of using pseudodifferential operators.
Citește tot Restrânge

Din seria University Series in Mathematics

Preț: 74181 lei

Preț vechi: 90465 lei
-18% Nou

Puncte Express: 1113

Preț estimativ în valută:
14202 15387$ 11859£

Carte tipărită la comandă

Livrare economică 12-26 decembrie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781468487824
ISBN-10: 1468487825
Pagini: 340
Ilustrații: XXVII, 299 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.48 kg
Ediția:1980
Editura: Springer Us
Colecția Springer
Seria University Series in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research