Introduction to the Theory of Singular Integral Operators with Shift - Couverture souple

Kravchenko, Viktor G. G.; Litvinchuk, Georgii S.

 
9789401045155: Introduction to the Theory of Singular Integral Operators with Shift
Couverture souple
ISBN 10 : 9401045151 ISBN 13 : 9789401045155
Editeur : Springer, 2012

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book is devoted to the Fredholm theory of singular integral operators with shift in L p, 1< p This book is of interest to graduate students and mathematicians. The book is self-contained and can be used as a main reference for special course seminars on singular integral operators.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
9401045151
ISBN 13 
9789401045155
Reliure
Broché
Nombre de pages
308
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9780792328643: Introduction to the Theory of Singular Integral Operators With Shift

Edition présentée

ISBN 10 :  0792328647 ISBN 13 :  9780792328643
Editeur : Kluwer Academic Publishers, 1994
Couverture rigide