Skip to main content

Harmonic Analysis and Boundary Value Problems in the Complex Domain

  • Book
  • © 1993


Part of the book series: Operator Theory: Advances and Applications (OT, volume 65)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

About this book

As is well known, the first decades of this century were a period of elaboration of new methods in complex analysis. This elaboration had, in particular, one char­ acteristic feature, consisting in the interfusion of some concepts and methods of harmonic and complex analyses. That interfusion turned out to have great advan­ tages and gave rise to a vast number of significant results, of which we want to mention especially the classical results on the theory of Fourier series in L2 ( -7r, 7r) and their continual analog - Plancherel's theorem on the Fourier transform in L2 ( -00, +00). We want to note also two important Wiener and Paley theorems on parametric integral representations of a subclass of entire functions of expo­ nential type in the Hardy space H2 over a half-plane. Being under the strong influence of these results, the author began in the fifties a series of investigations in the theory of integral representations of analytic and entire functions as well as in the theory of harmonic analysis in the com­ plex domain. These investigations were based on the remarkable properties of the asymptotics of the entire function (p, J1 > 0), which was introduced into mathematical analysis by Mittag-Leffler for the case J1 = 1. In the process of investigation, the scope of some classical results was essentially enlarged, and the results themselves were evaluated.

Similar content being viewed by others


Table of contents (12 chapters)

Authors and Affiliations

  • Academy of Sciences of Armenia, Institute of Mathematics, Yerevan, Armenia

    Mkhitar M. Djrbashian

Bibliographic Information

  • Book Title: Harmonic Analysis and Boundary Value Problems in the Complex Domain

  • Authors: Mkhitar M. Djrbashian

  • Series Title: Operator Theory: Advances and Applications

  • DOI:

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1993

  • Hardcover ISBN: 978-3-7643-2855-9Published: 01 January 1993

  • Softcover ISBN: 978-3-0348-9674-0Published: 21 October 2012

  • eBook ISBN: 978-3-0348-8549-2Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XIII, 258

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Publish with us