Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators - University Series in Mathematics (Paperback)
  • Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators - University Series in Mathematics (Paperback)
zoom

Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators - University Series in Mathematics (Paperback)

(author)
£74.99
Paperback 299 Pages / Published: 13/12/2013
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781468487824
Number of pages: 299
Weight: 522 g
Dimensions: 235 x 155 x 18 mm
Edition: 1980 ed.

You may also be interested in...

Maths in Minutes
Added to basket
The Signal and the Noise
Added to basket
The Art of Strategy
Added to basket
Mental Arithmetic 5
Added to basket
Useful Math & Physical Formulae
Added to basket
Mental Arithmetic 6 Answers: No. 6
Added to basket
Game Theory: A Very Short Introduction
Added to basket
Chaos
Added to basket
£10.99
Paperback
Mental Arithmetic 4 Answers
Added to basket
The Penguin Dictionary of Mathematics
Added to basket
Power of 2
Added to basket
£22.00
Paperback
Mental Arithmetic 4
Added to basket
£3.95
Paperback

Please sign in to write a review

Your review has been submitted successfully.