Sharper results

Elijah Liflyand

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


The results in this chapter have intrinsic interest and importance. But, additionally, this chapter is a sort of departure point or, say, a bridge to further multidimensional generalizations. Most of the earlier obtained results have been generalized to the multivariate case; various theorems of that kind can be found in the survey paper [128]. It is also summarized in [92] and in [122]. All these generalizations fail in sharpness, since too many terms fall into a trap of the remainder values. In other words, one-dimensional results are involved in multivariate extensions mostly as the remainder terms; even their leading terms contribute to the multidimensional leading terms too seldom.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Number of pages16
StatePublished - 2019

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.


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