HEISENBERG–WEYL LIE ALGEBRA AND NATURAL EXPONENTIAL FAMILIES

DOI10.1142/S0219025707002749zbMath1125.46060WikidataQ115245784 ScholiaQ115245784MaRDI QIDQ5297760

Zarai Mohammed

Publication date: 13 July 2007

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

natural exponential familyvariance functionlowering and raising operators2-orthogonal polynomials

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30)

Cites Work

• Natural real exponential families with cubic variance functions
• Natural exponential families with quadratic variance functions
• Coherent states and squeezed states in interacting Fock space
• LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS
• Interacting Fock Spaces and Gaussianization of Probability Measures
• CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES

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