Integrability Theorems for Trigonometric Transforms, 1

Name: Integrability Theorems for Trigonometric Transforms, 1
Brand: Springer, Berlin
SKU: 9783642871108
Price: 50.19 EUR
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Autor: Ralph P.Jr. Boas

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

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This monograph is areport on the present state of a fairly coherent collection of problems about whi...

Informácie o knihe

Autor

Ralph P.Jr. Boas

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2012

Stránok

EAN

9783642871108

ISBN

3642871100

Enbook ID

02646099

Vydavateľ

Springer, Berlin

Hmotnosť

134

Rozmery

155 x 235 x 4

Kompletný popis

This monograph is areport on the present state of a fairly coherent collection of problems about which a sizeable literature has grown up in recent years. In this literature, some of the problems have, as it happens, been analyzed in great detail, whereas other very similar ones have been treated much more superficially. I have not attempted to improve on the literature by making equally detailed presentations of every topic. I have also not aimed at encyclopedic completeness. I have, however, pointed out some possible generalizations by stating a number of questions; some of these could doubtless be disposed of in a few minutes; some are probably quite difficult. This monograph was written at the suggestion of B. SZ.-NAGY. I take this opportunity of pointing out that his paper [1] inspired the greater part of the material that is presented here; in particular, it contains the happy idea of focusing Y attention on the multipliers nY-i, x- . R. ASKEY, P. HEYWOOD, M. and S. IZUMI, and S. WAINGER have kindly communicated some of their recent results to me before publication. I am indebted for help on various points to L. S. BOSANQUET, S. M. EDMONDS, G. GOES, S. IZUMI, A. ZYGMUND, and especially to R. ASKEY. My work was supported by the National Science Foundation under grants GP-314, GP-2491, GP-3940 and GP-5558. Evanston, Illinois, February, 1967 R. P. Boas, Jr. Contents Notations ... §1. Introduetion 3 §2. Lemmas .. 7 §3. Theorems with positive or decreasing functions .

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Integrability Theorems for Trigonometric Transforms, 1

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