Canonical transformations, umbral calculus and orthogonal theory

DOI10.1016/0022-247X(85)90234-3zbMath0602.70018MaRDI QIDQ1082100

Henryk Gzyl

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier transformsemigroupumbral calculusmomentum representationorthogonal theorypurely momentum dependent Hamiltonian

Mathematics Subject Classification ID

Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

Umbral calculus via integral transforms ⋮ Vector fields and their duals. ⋮ Canonical equivalence of integrable systems, their associated (semi)- groups, and moment systems ⋮ Representations of degenerate poly-Bernoulli polynomials

Cites Work

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• Moment systems and orthogonal polynomials in several variables
• The umbral calculus
• A signed measure on path space related to Wiener measure
• Operator calculus
• Special functions, probability semigroups, and Hamiltonian flows
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Multivariate Umbral calculus

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