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Introduction to the Theory of Singular Integral Operators with Shift: 289 (Mathematics and Its Applications) - Tapa dura
Sinopsis
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.
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Reseña del editor
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.
Reseña del editor
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.
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- EditorialSpringer
- Año de publicación1994
- ISBN 10 0792328647
- ISBN 13 9780792328643
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas308
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Introduction to the Theory of Singular Integral Operators with Shift.
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Hardcover. 304 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 9780792328643 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2341391
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Introduction to the Theory of Singular Integral Operators with Shift (Mathematics and Its Applications, 289)
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Introduction to the Theory of Singular Integral Operators with Shift
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. Background information. 2. Noetherity criterion and a formula for the index of a singular integral functional operator of first order in the continuous case. 3. The Noether theory of a singular integral functional operator of finite o. Nº de ref. del artículo: 5967118
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Introduction to the Theory of Singular Integral Operators with Shift
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Springer Netherlands, Springer Netherlands, 1994
ISBN 10: 0792328647
ISBN 13: 9780792328643
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9780792328643
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Introduction to the Theory of Singular Integral Operators with Shift
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Introduction to the Theory of Singular Integral Operators with Shift
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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 308 pp. Englisch. Nº de ref. del artículo: 9780792328643
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