Metric domains, holomorphic mappings and nonlinear semigroups
We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337598000529 |
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| _version_ | 1832545400925454336 |
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| author | Simeon Reich David Shoikhet |
| author_facet | Simeon Reich David Shoikhet |
| author_sort | Simeon Reich |
| collection | DOAJ |
| description | We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups. |
| format | Article |
| id | doaj-art-ccb12421aa1c41109f3e4c39a8e068d7 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ccb12421aa1c41109f3e4c39a8e068d72025-02-03T07:26:01ZengWileyAbstract and Applied Analysis1085-33751998-01-0131-220322810.1155/S1085337598000529Metric domains, holomorphic mappings and nonlinear semigroupsSimeon Reich0David Shoikhet1Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, IsraelDepartment of Applied Mathematics, International College of Technology, Karmiel 20101, IsraelWe study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups.http://dx.doi.org/10.1155/S1085337598000529Banach spaceCauchy problemexponential formulaholomorphic retractionhyperbolic metricinfinitesimal generatornonlinear semigroupproduct formularesolventSchwarz-Pick systemstationary point set. |
| spellingShingle | Simeon Reich David Shoikhet Metric domains, holomorphic mappings and nonlinear semigroups Abstract and Applied Analysis Banach space Cauchy problem exponential formula holomorphic retraction hyperbolic metric infinitesimal generator nonlinear semigroup product formula resolvent Schwarz-Pick system stationary point set. |
| title | Metric domains, holomorphic mappings and nonlinear semigroups |
| title_full | Metric domains, holomorphic mappings and nonlinear semigroups |
| title_fullStr | Metric domains, holomorphic mappings and nonlinear semigroups |
| title_full_unstemmed | Metric domains, holomorphic mappings and nonlinear semigroups |
| title_short | Metric domains, holomorphic mappings and nonlinear semigroups |
| title_sort | metric domains holomorphic mappings and nonlinear semigroups |
| topic | Banach space Cauchy problem exponential formula holomorphic retraction hyperbolic metric infinitesimal generator nonlinear semigroup product formula resolvent Schwarz-Pick system stationary point set. |
| url | http://dx.doi.org/10.1155/S1085337598000529 |
| work_keys_str_mv | AT simeonreich metricdomainsholomorphicmappingsandnonlinearsemigroups AT davidshoikhet metricdomainsholomorphicmappingsandnonlinearsemigroups |