A class of integral transforms associated with the Majorana representation of SL(2,C)

DOI10.1063/1.528653zbMath0717.22010OpenAlexW2057157840MaRDI QIDQ3204683

Debabrata Basu, Tapan Kumar Kar

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528653

zbMATH Keywords

integral transformsLie algebradifferential operatorsentire analytic functionsaction of SL(2,C)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Unitary representations of locally compact groups (22D10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Applications of hypergeometric functions (33C90) General integral transforms (44A05)

Cites Work

• Teoria Relativistica di Particelle Con Momento Intrinseco Arbitrario
• A Remarkable Representation of the 3 + 2 de Sitter Group
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• Exponential Operators and Parameter Differentiation in Quantum Physics
• Linear Canonical Transformations and Their Unitary Representations