Lp Boundedness of Fourier Integral Operators PDF Download
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Author: R. M. Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: R. M. Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: R. Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Author: Robert Michael Beals
Publisher:
ISBN: 9780812822649
Category :
Languages : en
Pages : 57
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Book Description
Author: Michael Beals
Publisher: American Mathematical Soc.
ISBN: 0821822640
Category : Mathematics
Languages : en
Pages : 69
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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: David Dos Santos Ferreira
Publisher: American Mathematical Soc.
ISBN: 0821891197
Category : Mathematics
Languages : en
Pages : 86
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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: Robert Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 93
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Author: Christopher D. Sogge
Publisher: Cambridge University Press
ISBN: 110823433X
Category : Mathematics
Languages : en
Pages : 349
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Book Description
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat–Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.
Author: Robert Michael Beals
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
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Author: Marco M. Peloso
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Author: Jochen Brüning
Publisher: Springer Science & Business Media
ISBN: 3662030306
Category : Mathematics
Languages : en
Pages : 289
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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.
