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Riemann’s Boundary Problem with Infinite Index

  • Book
  • © 1994

Overview

Authors:
  1. N. V. Govorov
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    You can also search for this author in PubMed   Google Scholar

Editors:
  1. I. V. Ostrovskii

    1. Institute for Low Temperature Physics & Engineering, Kharkov, Ukraine

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 67)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
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  3. Part II

    1. Front Matter

      Pages 116-116
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    2. Riemann Boundary Problem with an Infinite Index When the Verticity Index is Less Than 1/2

      • N. V. Govorov, I. V. Ostrovskii
      Pages 116-136

    3. Riemann Boundary Problem with Infinite Index in the Case of Verticity of Infinite Order

      • N. V. Govorov, I. V. Ostrovskii
      Pages 137-203

    4. Riemann Boundary Problem with a Negative Index

      • N. V. Govorov, I. V. Ostrovskii
      Pages 204-231

  4. Back Matter

    Pages 232-252
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Keywords

About this book

native settlement, in 1950 he graduated - as an extramural studen- from Groznyi Teachers College and in 1957 from Rostov University. He taught mathematics in Novocherkask Polytechnic Institute and its branch in the town of Shachty. That was when his mathematical talent blossomed and he obtained the main results given in the present monograph. In 1969 N. V. Govorov received the degree of Doctor of Mathematics and the aca­ demic rank of a Professor. From 1970 until his tragic death on 24 April 1981, N. V. Govorov worked as Head of the Department of Mathematical Anal­ ysis of Kuban' University actively engaged in preparing new courses and teaching young mathematicians. His original mathematical talent, vivid reactions, kindness bordering on self-sacrifice made him highly respected by everybody who knew him. In preparing this book for publication I was given substantial assistance by E. D. Fainberg and A. I. Heifiz, while V. M. Govorova took a significant part of the technical work with the manuscript. Professor C. Prather con­ tributed substantial assistance in preparing the English translation of the book. I. V. Ostrovskii. PREFACE The classic statement of the Riemann boundary problem consists in finding a function (z) which is analytic and bounded in two domains D+ and D-, with a common boundary - a smooth closed contour L admitting a continuous extension onto L both from D+ and D- and satisfying on L the boundary condition +(t) = G(t)-(t) + g(t).

Editors and Affiliations

  • Institute for Low Temperature Physics & Engineering, Kharkov, Ukraine

    I. V. Ostrovskii

Bibliographic Information

  • Book Title: Riemann’s Boundary Problem with Infinite Index

  • Authors: N. V. Govorov

  • Editors: I. V. Ostrovskii

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8506-5

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1994

  • Hardcover ISBN: 978-3-7643-2999-0Published: 01 February 1994

  • Softcover ISBN: 978-3-0348-9655-9Published: 10 October 2012

  • eBook ISBN: 978-3-0348-8506-5Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XI, 252

  • Additional Information: Original Russian edition published by Nauka, Moscow, 1986

  • Topics: Analysis

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