L Boundedness of Certain Fourier Integral Operators PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download L Boundedness of Certain Fourier Integral Operators PDF full book. Access full book title L Boundedness of Certain Fourier Integral Operators by Robert Michael Beals. Download full books in PDF and EPUB format.
Author: Robert Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
Get Book Here
Book Description
Author: Robert Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
Get Book Here
Book Description
Author: Michael Beals
Publisher: American Mathematical Soc.
ISBN: 0821822640
Category : Mathematics
Languages : en
Pages : 69
Get Book Here
Book Description
A class of Fourier integral operators is shown to be bounded on a range of [italic]L[superscript italic]p spaces depending on the order of the operator. The proof involves calculation of a partial asymptotic expansion for an oscillating integral. The results are applied to solutions of strongly hyperbolic partial differential equations.
Author: Robert Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 93
Get Book Here
Book Description
Author: David Dos Santos Ferreira
Publisher: American Mathematical Soc.
ISBN: 0821891197
Category : Mathematics
Languages : en
Pages : 86
Get Book Here
Book Description
The authors investigate the global continuity on spaces with of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in with . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted spaces, with and (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.
Author: P. R. Halmos
Publisher: Springer Science & Business Media
ISBN: 3642670164
Category : Mathematics
Languages : en
Pages : 147
Get Book Here
Book Description
The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.
Author: Jochen Brüning
Publisher: Springer Science & Business Media
ISBN: 3662030306
Category : Mathematics
Languages : en
Pages : 289
Get Book Here
Book Description
What is the true mark of inspiration? Ideally it may mean the originality, freshness and enthusiasm of a new breakthrough in mathematical thought. The reader will feel this inspiration in all four seminal papers by Duistermaat, Guillemin and Hörmander presented here for the first time ever in one volume. However, as time goes by, the price researchers have to pay is to sacrifice simplicity for the sake of a higher degree of abstraction. Thus the original idea will only be a foundation on which more and more abstract theories are being built. It is the unique feature of this book to combine the basic motivations and ideas of the early sources with knowledgeable and lucid expositions on the present state of Fourier Integral Operators, thus bridging the gap between the past and present. A handy and useful introduction that will serve novices in this field and working mathematicians equally well.
Author: R. Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
Get Book Here
Book Description
Author: Robert Michael Beals
Publisher:
ISBN: 9780812822649
Category :
Languages : en
Pages : 57
Get Book Here
Book Description
Author: Marco M. Peloso
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
Get Book Here
Book Description
Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
ISBN: 0817681086
Category : Mathematics
Languages : en
Pages : 155
Get Book Here
Book Description
This volume is a useful introduction to the subject of Fourier Integral Operators and is based on the author’s classic set of notes. Covering a range of topics from Hörmander’s exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes application to hyperbolic equations (= equations of wave type) and oscillatory asymptotic solutions which may have caustics. This text is suitable for mathematicians and (theoretical) physicists with an interest in (linear) partial differential equations, especially in wave propagation, rep. WKB-methods.
