Algebraic Structures and Operator Calculus: Volume I: Representations and Probability Theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
|
| Schriftenreihe: | Mathematics and Its Applications
241 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This series presents some tools of applied mathematics in the areas of probability theory, operator calculus, representation theory, and special functions used currently, and we expect more and more in the future, for solving problems in mathematics, physics, and, now, computer science. Much of the material is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of the material is original with the authors. The presentation of probability theory in connection with group representations is new, this appears in Volume I. Then the applications to computer science in Volume II are original as well. The approach found in Volume III, which deals in large part with infinite-dimensional representations of Lie algebras/Lie groups, is new as well, being inspired by the desire to find a recursive method for calculating group representations. One idea behind this is the possibility of symbolic computation of the matrix elements. In this volume, Representations and Probability Theory, we present an introduction to Lie algebras and Lie groups emphasizing the connections with operator calculus, which we interpret through representations, principally, the action of the Lie algebras on spaces of polynomials. The main features are the connection with probability theory via moment systems and the connection with the classical elementary distributions via representation theory. The various systems of polynomials that arise are one of the most interesting aspects of this study |
| Beschreibung: | 1 Online-Ressource (IX, 226 p) |
| ISBN: | 9789401116480 9789401047203 |
| DOI: | 10.1007/978-94-011-1648-0 |
Internformat
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| 100 | 1 | |a Feinsilver, Philip J. |d 1948- |e Verfasser |0 (DE-588)172085160 |4 aut | |
| 245 | 1 | 0 | |a Algebraic Structures and Operator Calculus |b Volume I: Representations and Probability Theory |c by Philip Feinsilver, René Schott |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1993 | |
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| 490 | 1 | |a Mathematics and Its Applications |v 241 | |
| 500 | |a This series presents some tools of applied mathematics in the areas of probability theory, operator calculus, representation theory, and special functions used currently, and we expect more and more in the future, for solving problems in mathematics, physics, and, now, computer science. Much of the material is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of the material is original with the authors. The presentation of probability theory in connection with group representations is new, this appears in Volume I. Then the applications to computer science in Volume II are original as well. The approach found in Volume III, which deals in large part with infinite-dimensional representations of Lie algebras/Lie groups, is new as well, being inspired by the desire to find a recursive method for calculating group representations. One idea behind this is the possibility of symbolic computation of the matrix elements. In this volume, Representations and Probability Theory, we present an introduction to Lie algebras and Lie groups emphasizing the connections with operator calculus, which we interpret through representations, principally, the action of the Lie algebras on spaces of polynomials. The main features are the connection with probability theory via moment systems and the connection with the classical elementary distributions via representation theory. The various systems of polynomials that arise are one of the most interesting aspects of this study | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Topological Groups | |
| 650 | 4 | |a Operator theory | |
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| 650 | 4 | |a Distribution (Probability theory) | |
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| 650 | 4 | |a Topological Groups, Lie Groups | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
| 650 | 4 | |a Special Functions | |
| 650 | 4 | |a Operator Theory | |
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Datensatz im Suchindex
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| author | Feinsilver, Philip J. 1948- |
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| dewey-full | 512.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.48 |
| dewey-search | 512.48 |
| dewey-sort | 3512.48 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1648-0 |
| format | Electronic eBook |
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| id | DE-604.BV042423853 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401116480 9789401047203 |
| language | English |
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| physical | 1 Online-Ressource (IX, 226 p) |
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| series2 | Mathematics and Its Applications |
| spelling | Feinsilver, Philip J. 1948- Verfasser (DE-588)172085160 aut Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory by Philip Feinsilver, René Schott Dordrecht Springer Netherlands 1993 1 Online-Ressource (IX, 226 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 241 This series presents some tools of applied mathematics in the areas of probability theory, operator calculus, representation theory, and special functions used currently, and we expect more and more in the future, for solving problems in mathematics, physics, and, now, computer science. Much of the material is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of the material is original with the authors. The presentation of probability theory in connection with group representations is new, this appears in Volume I. Then the applications to computer science in Volume II are original as well. The approach found in Volume III, which deals in large part with infinite-dimensional representations of Lie algebras/Lie groups, is new as well, being inspired by the desire to find a recursive method for calculating group representations. One idea behind this is the possibility of symbolic computation of the matrix elements. In this volume, Representations and Probability Theory, we present an introduction to Lie algebras and Lie groups emphasizing the connections with operator calculus, which we interpret through representations, principally, the action of the Lie algebras on spaces of polynomials. The main features are the connection with probability theory via moment systems and the connection with the classical elementary distributions via representation theory. The various systems of polynomials that arise are one of the most interesting aspects of this study Mathematics Algebra Topological Groups Operator theory Functions, special Distribution (Probability theory) Non-associative Rings and Algebras Topological Groups, Lie Groups Probability Theory and Stochastic Processes Special Functions Operator Theory Mathematik Schott, René 1947- Sonstige (DE-588)13423538X oth Mathematics and Its Applications 241 (DE-604)BV008163334 241 https://doi.org/10.1007/978-94-011-1648-0 Verlag Volltext |
| spellingShingle | Feinsilver, Philip J. 1948- Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory Mathematics and Its Applications Mathematics Algebra Topological Groups Operator theory Functions, special Distribution (Probability theory) Non-associative Rings and Algebras Topological Groups, Lie Groups Probability Theory and Stochastic Processes Special Functions Operator Theory Mathematik |
| title | Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory |
| title_auth | Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory |
| title_exact_search | Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory |
| title_full | Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory by Philip Feinsilver, René Schott |
| title_fullStr | Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory by Philip Feinsilver, René Schott |
| title_full_unstemmed | Algebraic Structures and Operator Calculus Volume I: Representations and Probability Theory by Philip Feinsilver, René Schott |
| title_short | Algebraic Structures and Operator Calculus |
| title_sort | algebraic structures and operator calculus volume i representations and probability theory |
| title_sub | Volume I: Representations and Probability Theory |
| topic | Mathematics Algebra Topological Groups Operator theory Functions, special Distribution (Probability theory) Non-associative Rings and Algebras Topological Groups, Lie Groups Probability Theory and Stochastic Processes Special Functions Operator Theory Mathematik |
| topic_facet | Mathematics Algebra Topological Groups Operator theory Functions, special Distribution (Probability theory) Non-associative Rings and Algebras Topological Groups, Lie Groups Probability Theory and Stochastic Processes Special Functions Operator Theory Mathematik |
| url | https://doi.org/10.1007/978-94-011-1648-0 |
| volume_link | (DE-604)BV008163334 |
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