Author: R. M. BealsPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Lp Boundedness of Fourier Integral Operators
Author: R. M. Beals$L^p$ Boundedness of Fourier Integral Operators
Author: Michael BealsPublisher: American Mathematical Soc.
ISBN: 0821822640
Category : Mathematics
Languages : en
Pages : 69
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.
$L P$ Boundedness of Fourier Integral Operators
Author: R. Michael BealsPublisher:
ISBN:
Category :
Languages : en
Pages : 57
Book Description
Lp Boundedness of Fourier Integral Operators
Author: Robert Michael BealsPublisher:
ISBN: 9780812822649
Category :
Languages : en
Pages : 57
Book Description
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Author: David Dos Santos FerreiraPublisher: American Mathematical Soc.
ISBN: 0821891197
Category : Mathematics
Languages : en
Pages : 86
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.
Aspects of the Theory of Bounded Integral Operators in Lp-spaces
Author: George Olatokunbo OkikioluPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 542
Book Description
Lp̂ Boundedness of Certain Fourier Integral Operators
Author: Robert Michael BealsPublisher:
ISBN:
Category :
Languages : en
Pages : 93
Book Description
The Analysis of Linear Partial Differential Operators
Author: Lars HörmanderPublisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 376
Book Description
L Boundedness of Certain Fourier Integral Operators
Author: Robert Michael BealsPublisher:
ISBN:
Category :
Languages : en
Pages : 186
Book Description
Bounded Integral Operators on L 2 Spaces
Author: P. R. HalmosPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 160
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.
