Georgii S Litvinchuk

(Author)

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift (Softcover Reprint of the Original 1st 2000)Paperback - Softcover Reprint of the Original 1st 2000, 10 October 2012

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift (Softcover Reprint of the Original 1st 2000)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
378 pages
Language
English
Publisher
Springer
Date Published
10 Oct 2012
ISBN-10
9401058776
ISBN-13
9789401058773

Description

The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857). In particular, such problems exhibit as boundary conditions relations among values of the unknown analytic functions which have to be evaluated at different points of the boundary. Singular integral equations with a shift are connected with such boundary value problems in a natural way. Subsequent to Riemann's work, D. Hilbert (1905), C. Haseman (1907) and T. Carleman (1932) also considered problems of this type. About 50 years ago, Soviet mathematicians began a systematic study of these topics. The first works were carried out in Tbilisi by D. Kveselava (1946-1948). Afterwards, this theory developed further in Tbilisi as well as in other Soviet scientific centers (Rostov on Don, Ka- zan, Minsk, Odessa, Kishinev, Dushanbe, Novosibirsk, Baku and others). Beginning in the 1960s, some works on this subject appeared systematically in other countries, e. g., China, Poland, Germany, Vietnam and Korea. In the last decade the geography of investigations on singular integral operators with shift expanded significantly to include such countries as the USA, Portugal and Mexico. It is no longer easy to enumerate the names of the all mathematicians who made contributions to this theory. Beginning in 1957, the author also took part in these developments. Up to the present, more than 600 publications on these topics have appeared.

Product Details

Author:
Georgii S Litvinchuk
Book Edition:
Softcover Reprint of the Original 1st 2000
Book Format:
Paperback
Country of Origin:
NL
Date Published:
10 October 2012
Dimensions:
23.39 x 15.6 x 2.08 cm
ISBN-10:
9401058776
ISBN-13:
9789401058773
Language:
English
Location:
Dordrecht
Pages:
378
Publisher:
Weight:
562.45 gm

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