Viktor G Kravchenko

(Author)

Introduction to the Theory of Singular Integral Operators with Shift (Softcover Reprint of the Original 1st 1994)Paperback - Softcover Reprint of the Original 1st 1994, 24 December 2012

Introduction to the Theory of Singular Integral Operators with Shift (Softcover Reprint of the Original 1st 1994)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
288 pages
Language
English
Publisher
Springer
Date Published
24 Dec 2012
ISBN-10
9401045151
ISBN-13
9789401045155

Description

problem (0. 2) was the same u that of problem (0. 1). Incidentally, later on Mandzhavidze and Khvedclidze (I) and Simonenko (I) achieved a direct reduction of problem (0. 2) to problem (0. 1) with the help of conformal mappings. Apparenlly, the first paper in which SIES were considered was the paper by Vekua (2) published in 1948. Vekua verified that the equation (0. 3) where (1; C(f), 5 is the operator of 'ingular integration with a Cauchy kernel (Srp)(!) "" (". i)-I fr(T - t)-lrp(T)dT, W is the shift operator (WrpHt) = rp{a(t, in the case 01 = - (13,0, = 0., could be reduced to problem (0. 2). We note thai, in problem (0. 2), the shift ott) need not be a Carlemao shift, . ei., it is oot necessary that a . . (t):::: t for some integer 11 2, where ai(l) "" o(ok_dt)), 0(1(1):::: !. For the first time, the condition 0, (1) == 1 appeared in BPAFS theory in connection with the study of the problem (0. 4) by Carle man (2) who, in particular, showed that problem (0. 4) Wall a natural generalization of the problem on the existence of an a. utomorphic function belonging to a certain group of Fucs. Thus, the paper by Vckua (2) is also the fint paper in which a singular integral equation with a non-Carieman 5hifl is on c sidered.

Product Details

Authors:
Viktor G KravchenkoGeorgii S Litvinchuk
Book Edition:
Softcover Reprint of the Original 1st 1994
Book Format:
Paperback
Country of Origin:
NL
Date Published:
24 December 2012
Dimensions:
23.39 x 15.6 x 1.65 cm
ISBN-10:
9401045151
ISBN-13:
9789401045155
Language:
English
Location:
Dordrecht
Pages:
288
Publisher:
Weight:
435.45 gm

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