Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorBoas, Ralph P. author
TitleIntegrability Theorems for Trigonometric Transforms [electronic resource] / by Ralph P. Boas
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1967
Connect tohttp://dx.doi.org/10.1007/978-3-642-87108-5
Descript VIII, 66 p. online resource

SUMMARY

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 ... ยง 1. Introduetion 3 ยง2. Lemmas .. 7 ยง 3. Theorems with positive or decreasing functions


CONTENT

ยง 1. Introduction -- ยง 2. Lemmas -- ยง 3. Theorems with positive or decreasing functions -- ยง 4. Theorems with positive or decreasing coefficients -- ยง 5. The exceptional integral values of the index -- ยง 6. Lp problems, 1 < p < ? -- ยง 7. Asymptotic formulas and Lipschitz conditions -- ยง 8. More general classes of functions; conditional convergence -- ยง 9. Trigonometric integrals


Mathematics Geometry Mathematics Geometry



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram