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Author:   P.L. Butzer ,  Nessel ,  Trebels
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   Softcover reprint of the original 1st ed. 1971
Volume:   1
Dimensions:   Width: 17.80cm , Height: 2.90cm , Length: 25.40cm
Weight:   1.075kg
ISBN:  

9783034874502

ISBN 10:   3034874502
Pages:   553
Publication Date:   03 May 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

0 Preliminaries.- 0 Preliminaries.- I Approximation by Singular Integrals.- 1 Singular Integrals of Periodic Functions.- 2 Theorems of Jackson and Bernstein for Polynomials of Best Approximation and for Singular Integrals.- 3 Singular Integrals on the Line Group.- II Fourier Transforms.- 4 Finite Fourier Transforms.- 5 Fourier Transforms Associated with the Line Group.- 6 Representation Theorems.- 7 Fourier Transform Methods and Second-Order Partial Differential Equations.- III Hilbert Transforms.- 8 Hilbert Transforms on the Real Line.- 9 Hilbert Transforms of Periodic Functions.- IV Characterization of Certain Function Classes 355.- 10 Characterization in the Integral Case.- 11 Characterization in the Fractional Case.- V Saturation Theory.- 12 Saturation for Singular Integrals on X2? and Lp, 1 ? p ? 2 433.- 13 Saturation on X(R).- List of Symbols.- Tables of Fourier and Hilbert Transforms.

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