Semigroups in Geometrical Function Theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Dordrecht
Springer Netherlands
2001
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Historically, complex analysis and geometrical function theory have been intensively developed from the beginning of the twentieth century. They provide the foundations for broad areas of mathematics. In the last fifty years the theory of holomorphic mappings on complex spaces has been studied by many mathematicians with many applications to nonlinear analysis, functional analysis, differential equations, classical and quantum mechanics. The laws of dynamics are usually presented as equations of motion which are written in the abstract form of a dynamical system: dx / dt + f ( x) = 0, where x is a variable describing the state of the system under study, and f is a vector function of x. The study of such systems when f is a monotone or an accretive (generally nonlinear) operator on the underlying space has been recently the subject of much research by analysts working on quite a variety of interesting topics, including boundary value problems, integral equations and evolution problems (see, for example, [19, 13] and [29]). In a parallel development (and even earlier) the generation theory of oneparameter semigroups of holomorphic mappings in en has been the topic of interest in the theory of Markov stochastic processes and, in particular, in the theory of branching processes (see, for example, [63, 127, 48] and [69]) |
Beschreibung: | 1 Online-Ressource (XII, 222 p) |
ISBN: | 9789401596329 9789048157471 |
DOI: | 10.1007/978-94-015-9632-9 |
Internformat
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Datensatz im Suchindex
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author | Shoikhet, David |
author_facet | Shoikhet, David |
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indexdate | 2024-07-10T01:21:15Z |
institution | BVB |
isbn | 9789401596329 9789048157471 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859576 |
oclc_num | 863929267 |
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physical | 1 Online-Ressource (XII, 222 p) |
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publishDate | 2001 |
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publisher | Springer Netherlands |
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spelling | Shoikhet, David Verfasser aut Semigroups in Geometrical Function Theory by David Shoikhet Dordrecht Springer Netherlands 2001 1 Online-Ressource (XII, 222 p) txt rdacontent c rdamedia cr rdacarrier Historically, complex analysis and geometrical function theory have been intensively developed from the beginning of the twentieth century. They provide the foundations for broad areas of mathematics. In the last fifty years the theory of holomorphic mappings on complex spaces has been studied by many mathematicians with many applications to nonlinear analysis, functional analysis, differential equations, classical and quantum mechanics. The laws of dynamics are usually presented as equations of motion which are written in the abstract form of a dynamical system: dx / dt + f ( x) = 0, where x is a variable describing the state of the system under study, and f is a vector function of x. The study of such systems when f is a monotone or an accretive (generally nonlinear) operator on the underlying space has been recently the subject of much research by analysts working on quite a variety of interesting topics, including boundary value problems, integral equations and evolution problems (see, for example, [19, 13] and [29]). In a parallel development (and even earlier) the generation theory of oneparameter semigroups of holomorphic mappings in en has been the topic of interest in the theory of Markov stochastic processes and, in particular, in the theory of branching processes (see, for example, [63, 127, 48] and [69]) Mathematics Functional equations Functions of complex variables Functions, special Geometry Discrete groups Functions of a Complex Variable Difference and Functional Equations Convex and Discrete Geometry Special Functions Mathematik https://doi.org/10.1007/978-94-015-9632-9 Verlag Volltext |
spellingShingle | Shoikhet, David Semigroups in Geometrical Function Theory Mathematics Functional equations Functions of complex variables Functions, special Geometry Discrete groups Functions of a Complex Variable Difference and Functional Equations Convex and Discrete Geometry Special Functions Mathematik |
title | Semigroups in Geometrical Function Theory |
title_auth | Semigroups in Geometrical Function Theory |
title_exact_search | Semigroups in Geometrical Function Theory |
title_full | Semigroups in Geometrical Function Theory by David Shoikhet |
title_fullStr | Semigroups in Geometrical Function Theory by David Shoikhet |
title_full_unstemmed | Semigroups in Geometrical Function Theory by David Shoikhet |
title_short | Semigroups in Geometrical Function Theory |
title_sort | semigroups in geometrical function theory |
topic | Mathematics Functional equations Functions of complex variables Functions, special Geometry Discrete groups Functions of a Complex Variable Difference and Functional Equations Convex and Discrete Geometry Special Functions Mathematik |
topic_facet | Mathematics Functional equations Functions of complex variables Functions, special Geometry Discrete groups Functions of a Complex Variable Difference and Functional Equations Convex and Discrete Geometry Special Functions Mathematik |
url | https://doi.org/10.1007/978-94-015-9632-9 |
work_keys_str_mv | AT shoikhetdavid semigroupsingeometricalfunctiontheory |