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A Class of I.M. Vinogradov’s Series and Its Applications in Harmonic Analysis

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Progress in Approximation Theory

Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 19))

Abstract

The present paper is a survey of the author’s recent research in the one-dimensional trigonometric series of the type

$$\sum\limits_n {\hat f\left( n \right)} {e^{2\pi i\left( {{n^r}{x_r} + \cdots + n{x_1}} \right)}}.$$
((1.1))

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Author information

Authors and Affiliations

  1. Department of Math. & Statistics Jeffrey Hall, Queen’s University, K7L 3N6, Kingston, Ontario, Canada

    K. I. Oskolkov

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  1. K. I. Oskolkov
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Editor information

Editors and Affiliations

  1. Steklov Mathematics Institute, 117966, Moscow GSP-1, Russia

    A. A. Gonchar

  2. Institute for Constructive Mathematics, University of South Florida, 33620, Tampa, FL, USA

    E. B. Saff

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© 1992 Springer-Verlag New York, Inc.

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Oskolkov, K.I. (1992). A Class of I.M. Vinogradov’s Series and Its Applications in Harmonic Analysis. In: Gonchar, A.A., Saff, E.B. (eds) Progress in Approximation Theory. Springer Series in Computational Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2966-7_16

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  • DOI: https://doi.org/10.1007/978-1-4612-2966-7_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7737-8

  • Online ISBN: 978-1-4612-2966-7

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