Download or read book Lp Boundedness of Fourier Integral Operators written by R. M. Beals and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lp Boundedness of Certain Fourier Integral Operators written by Robert Michael Beals and published by . This book was released on 1981 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book L P Boundedness of Fourier Integral Operators written by R. Michael Beals and published by . This book was released on 1982 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book L Boundedness of Certain Fourier Integral Operators written by Robert Michael Beals and published by . This book was released on 1980 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lp Boundedness of Fourier Integral Operators written by Robert Michael Beals and published by . This book was released on 1982 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces written by David Dos Santos Ferreira and published by American Mathematical Soc.. This book was released on 2014-04-07 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Aspects of the Theory of Bounded Integral Operators in Lp spaces written by George Olatokunbo Okikiolu and published by . This book was released on 1971 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book L p Boundedness of Fourier Integral Operators written by Michael Beals and published by American Mathematical Soc.. This book was released on 1982 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Fourier Integrals in Classical Analysis written by Christopher D. Sogge and published by Cambridge University Press. This book was released on 2017-04-27 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Lp bounds for Hypersingular Integral Operators Along Curves written by Sharad Chandarana and published by . This book was released on 1993 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematics Past and Present Fourier Integral Operators written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 1994-02-18 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Fourier Integrals in Classical Analysis written by Christopher Donald Sogge and published by Cambridge University Press. This book was released on 1993-02-26 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced monograph concerned with modern treatments of central problems in harmonic analysis.

Download or read book Boundedness of Fourier Integral Operators on Hardy Spaces written by Marco M. Peloso and published by . This book was released on 2004 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on Singular Integral Operators written by Francis Michael Christ and published by American Mathematical Soc.. This book was released on 1991-01-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents an expanded account of lectures delivered at the NSF-CBMS Regional Conference on Singular Integral Operators, held at the University of Montana in the summer of 1989. The lectures are concerned principally with developments in the subject related to the Cauchy integral on Lipschitz curves and the T(1) theorem. The emphasis is on real-variable techniques, with a discussion of analytic capacity in one complex variable included as an application. The author has presented here a synthesized exposition of a body of results and techniques. Much of the book is introductory in character and intended to be accessible to the nonexpert, but a variety of readers should find the book useful.

Download or read book Regularity Theory of Fourier Integral Operators with Complex Phases and Singularities of Affine Fibrations written by Michael Ruzhansky and published by . This book was released on 2001 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bounded and Compact Integral Operators written by David E. Edmunds and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces. Itfocuses onintegral operators naturally arising in boundary value problems for PDE, the spectral theory of differential operators, continuum and quantum mechanics, stochastic processes etc. The book may be considered as a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactness point of view. A characteristic feature of the monograph is that most of the statements proved here have the form of criteria. These criteria enable us, for example, togive var ious explicit examples of pairs of weighted Banach function spaces governing boundedness/compactness of a wide class of integral operators. The book has two main parts. The first part, consisting of Chapters 1-5, covers theinvestigation ofclassical operators: Hardy-type transforms, fractional integrals, potentials and maximal functions. Our main goal is to give a complete description of those Banach function spaces in which the above-mentioned operators act boundedly (com pactly). When a given operator is not bounded (compact), for example in some Lebesgue space, we look for weighted spaces where boundedness (compact ness) holds. We develop the ideas and the techniques for the derivation of appropriate conditions, in terms of weights, which are equivalent to bounded ness (compactness).

Download or read book Fourier Integral Operators written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 2010-11-03 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.