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Wednesday, July 15, 2020 | History

6 edition of Wavelets and singular integrals on curves and surfaces found in the catalog.

Wavelets and singular integrals on curves and surfaces

by Guy David

  • 189 Want to read
  • 28 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Singular integrals.,
  • Maximal functions.

  • Edition Notes

    StatementGuy David.
    SeriesLecture notes in mathematics ;, 1465, Lecture notes in mathematics (Springer-Verlag) ;, 1465.
    Classifications
    LC ClassificationsQA3 .L28 no. 1465, QA403.3 .L28 no. 1465
    The Physical Object
    Paginationx, 107 p. :
    Number of Pages107
    ID Numbers
    Open LibraryOL1533206M
    ISBN 100387539026
    LC Control Number91010902

    Wavelets and singular integrals on curves and surfaces, Lecture notes in mathematics , Springer Singular sets of minimizers for the Mumford-Shah functional, . Keywords and phrases: reproducing kernel, Littlewood-Paley theory, continuous and discrete wavelet decomposition, Clifford analysis. 0. Introduction Function spaces and singular integrals on curves and surfaces (see [5, 6, 3, 2, 8, 7]) are closely related to boundary value problems on the same type of curves and surfaces.

    allocatable_array_test; alpert_rule, a FORTRAN90 code which can set up an Alpert quadrature rule for functions which are regular, log(x) singular, or 1/sqrt(x) singular.; alpert_rule_test; analemma, a FORTRAN90 code which evaluates the equation of time, a formula for the difference between the uniform 24 hour day and the actual position of the sun, creating data files that can be plotted with. This book is number 81 in the AMS Series, Mathematical Surveys and Monographs. It develops three related tools that are useful in the analysis of partial differential equations, arising from the classical study of singular integral operators: pseudodifferential operators, paradifferential operators, and .

    The Fractional Fourier Multipliers on Lipschitz Curves and Surfaces. Chapter. Jan ; Singular Integrals and Fourier Theory on Lipschitz Boundaries. Book. Jan ; Regular Wavelets, Heat. This book is largely a research monograph detailing the work of Alan McIntosh and collaborators on singular integrals and Fourier multipliers on Lipschitz surfaces. There are three main sections of this book: singular integrals and Fourier multipliers on Lipschitz curves in one complex variable; on graph type Lipschitz surfaces; and on starlike.


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Wavelets and singular integrals on curves and surfaces by Guy David Download PDF EPUB FB2

The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It Cited by: Wavelets.- Singular integral operators.- Singular integrals on curves and surfaces.

Series Title: Lecture notes in mathematics (Springer-Verlag), Responsibility: Guy. Get this from a library. Wavelets and singular integrals on curves and surfaces. [Guy David] -- Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics.

The book. Get this from a library. Wavelets and singular integrals on curves and surfaces. [Guy David]. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new real-variable methods used in harmonic analysis.

Books > Mathematics. Wavelets And Singular Integrals On Curves And SurfacesReviews: 6. Download Book Wavelets And Singular Integrals On Curves And Surfaces Lecture Notes In Mathematics in PDF format.

You can Read Online Wavelets And Singular Integrals On Curves And Surfaces Lecture Notes In Mathematics here in PDF, EPUB, Mobi or Docx formats. Cite this chapter as: David G.

() Singular integrals on curves and surfaces. In: Wavelets and Singular Integrals on Curves and Surfaces. Title:Clifford Wavelets, Singular Integrals, and Hardy Spaces Author:Marius Mitrea Publisher:Springer ISBN ISBN Date Pages Language:English Format: PDF Size MB Description:The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra covered: construction of Clifford-valued wavelets, Calderon-Zygmund.

Cite this chapter as: David G. () Singular integral operators. In: Wavelets and Singular Integrals on Curves and Surfaces. Lecture Notes in Mathematics, vol The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains.

Wavelets and Singular Integrals on Curves and Surfaces, Lect. Notes in Math.,Springer-Verlag (). Wavelets and Singular Integrals on Curves and Surfaces Series: Lecture Notes in Mathematics, Vol.

Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China. The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the s.

A theory of a class of singular integrals on starlike Lipschitz surfaces in R n is established. The class of singular integrals forms an operator algebra identical to the class of bounded holomorphic Fourier multipliers, as well as to the Cauchy–Dunford bounded holomorphic functional calculus of the spherical Dirac operator.

More wavelets We start with two results at the interface between singular integrals and wavelets. T h e o r e m Let ¢ be a C 1 - f u n c t i O n on IR, with rapid decay at oo, and such that the 21/2¢(2ix - k), (j, k) E ~2, form an orthonormal basis of L2(IR) (for instance, take Y.

Meyer's wavelet). Wavelets and singular integrals on curves and surfaces. Berlin ; New York: Springer-Verlag, © (DLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Guy David.

Wavelets and Singular Integrals on Curves and Surfaces (Lecture Notes in Mathematics) by Guy David and a great selection of related books, art and collectibles available now at   Harmonic singular integrals and steerable wavelets in L 2 A fundamental aspect of this construction is that Fourier multipliers composed of spherical harmonics correspond to singular integrals in the spatial domain.

Such transforms have been studied extensively in the field of harmonic analysis, and we take advantage of this wealth of. Singular integrals and Fourier multipliers In this section, we recall some relevant results from the theory of singular integrals and provide a basis for the construction of steerable wavelets.

One of the key ingredients in this construction is a collection of functions which generate a partition of unity. In this section we shall show how. Abstract. The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework.

Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains.

Michael Christ, Lectures on singular integral operators, CBMS Regional Conference Series in Mathematics, vol. 77, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, MR Guy David, Wavelets and singular integrals on curves and surfaces, Lecture Notes in Mathematics, vol.Springer.

The Gaussian scale-space is a singular integral convolution operator with scaled Gaussian kernel. For a large class of singular integral convolution operators with differentiable kernels, a general method for constructing mother wavelets for continuous wavelet transforms is developed, and Calderón type inversion formulas, in both integral and semi-discrete forms, are derived for functions in.[D2] Guy David, Wavelets and singular integrals on curves and surfaces, Lecture Notes in Mathematics, vol.Springer-Verlag, Berlin, Mathematical Reviews (MathSciNet): MR92k Zentralblatt MATH: