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Titlebook: Algebraic Structures and Operator Calculus; Volume I: Representa Philip Feinsilver,René Schott Book 1993 Kluwer Academic Publishers 1993 Al

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發(fā)表于 2025-3-21 18:08:21 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebraic Structures and Operator Calculus
期刊簡(jiǎn)稱Volume I: Representa
影響因子2023Philip Feinsilver,René Schott
視頻videohttp://file.papertrans.cn/153/152703/152703.mp4
學(xué)科分類Mathematics and Its Applications
圖書封面Titlebook: Algebraic Structures and Operator Calculus; Volume I: Representa Philip Feinsilver,René Schott Book 1993 Kluwer Academic Publishers 1993 Al
影響因子This series presents some tools of applied mathematics in the areas of proba- bility theory, operator calculus, representation theory, and special functions used currently, and we expect more and more in the future, for solving problems in math- ematics, 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 represen- tations 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 calcu- lating 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 intro- duction to Lie algebras and Lie groups emphasizing the connections with operator calculus, whic
Pindex Book 1993
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Introductory Noncommutative Algebra,ing an associative multiplication compatible with the addition operation, i.e., with distributive laws. We will be interested in Lie algebras. A . is a vector space with a non-associative multiplication — the Lie bracket, denoted [A, . satisfying:. i.e., antisymmetry and the .
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Bernoulli Systems,will be more in the background, they will still appear regularly. In the analytic vein, important features are: the Rodrigues formula (§1.3), the kernel w (§II) which intertwines the Fock space realizations of Chapters 3 and 5, and the Riccati equation (§§1.4, V). Two integral transforms, the Fourie
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pecial functions used currently, and we expect more and more in the future, for solving problems in math- ematics, 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.
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