Introduction to the Theory of Singular Integral Operators with Shift:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1994
|
| Series: | Mathematics and Its Applications
289 |
| Subjects: | |
| Online Access: | Volltext |
| Item 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 |
| Physical Description: | 1 Online-Ressource (XVI, 288 p) |
| ISBN: | 9789401111805 9789401045155 |
| DOI: | 10.1007/978-94-011-1180-5 |
Staff View
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| 245 | 1 | 0 | |a Introduction to the Theory of Singular Integral Operators with Shift |c by Victor G. Kravchenko, Georgii S. Litvinchuk |
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| 500 | |a 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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Record in the Search Index
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| author_sort | Kravchenko, Victor G. |
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| dewey-full | 515.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515.45 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401111805 9789401045155 |
| language | English |
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| spelling | Kravchenko, Victor G. Verfasser aut Introduction to the Theory of Singular Integral Operators with Shift by Victor G. Kravchenko, Georgii S. Litvinchuk Dordrecht Springer Netherlands 1994 1 Online-Ressource (XVI, 288 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 289 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 Mathematics Functional equations Functions of complex variables Integral equations Operator theory Functions, special Integral Equations Operator Theory Difference and Functional Equations Special Functions Functions of a Complex Variable Mathematik Verschiebungsoperator (DE-588)4121862-0 gnd rswk-swf Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Singulärer Integraloperator (DE-588)4131249-1 s Verschiebungsoperator (DE-588)4121862-0 s 1\p DE-604 Litvinchuk, Georgii S. Sonstige oth https://doi.org/10.1007/978-94-011-1180-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kravchenko, Victor G. Introduction to the Theory of Singular Integral Operators with Shift Mathematics Functional equations Functions of complex variables Integral equations Operator theory Functions, special Integral Equations Operator Theory Difference and Functional Equations Special Functions Functions of a Complex Variable Mathematik Verschiebungsoperator (DE-588)4121862-0 gnd Singulärer Integraloperator (DE-588)4131249-1 gnd |
| subject_GND | (DE-588)4121862-0 (DE-588)4131249-1 |
| title | Introduction to the Theory of Singular Integral Operators with Shift |
| title_auth | Introduction to the Theory of Singular Integral Operators with Shift |
| title_exact_search | Introduction to the Theory of Singular Integral Operators with Shift |
| title_full | Introduction to the Theory of Singular Integral Operators with Shift by Victor G. Kravchenko, Georgii S. Litvinchuk |
| title_fullStr | Introduction to the Theory of Singular Integral Operators with Shift by Victor G. Kravchenko, Georgii S. Litvinchuk |
| title_full_unstemmed | Introduction to the Theory of Singular Integral Operators with Shift by Victor G. Kravchenko, Georgii S. Litvinchuk |
| title_short | Introduction to the Theory of Singular Integral Operators with Shift |
| title_sort | introduction to the theory of singular integral operators with shift |
| topic | Mathematics Functional equations Functions of complex variables Integral equations Operator theory Functions, special Integral Equations Operator Theory Difference and Functional Equations Special Functions Functions of a Complex Variable Mathematik Verschiebungsoperator (DE-588)4121862-0 gnd Singulärer Integraloperator (DE-588)4131249-1 gnd |
| topic_facet | Mathematics Functional equations Functions of complex variables Integral equations Operator theory Functions, special Integral Equations Operator Theory Difference and Functional Equations Special Functions Functions of a Complex Variable Mathematik Verschiebungsoperator Singulärer Integraloperator |
| url | https://doi.org/10.1007/978-94-011-1180-5 |
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