Analysis in or the principal function theory

DOI10.1080/17476939908815210zbMath0983.30022arXivfunct-an/9712003OpenAlexW2222444898MaRDI QIDQ4487930

G.V.P.Khmelevskaya

Publication date: 25 June 2000

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9712003

zbMATH Keywords

Hardy spaceDirac operatorwavelet transformgroup representationsTaylor expansioncoherent statesdiscrete seriesCauchy-Riemann equationsCauchy integral formulaprinciple series

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Semisimple Lie groups and their representations (22E46) Coherent states (81R30)

Related Items (10)

Geometric Invariants Under the Möbius Action of the Group SL(2;R) ⋮ The groups of two by two matrices in double and dual numbers, and associated Möbius transformations ⋮ Induced representations and hypercomplex numbers ⋮ Clifford Algebras with Induced (Semi)-Riemannian Structures and Their Compactifications ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Two-dimensional conformal models of space-time and their compactification ⋮ Relative convolutions. I: Properties and applications ⋮ Calculus of operators: covariant transform and relative convolutions ⋮ Projective compactification of \(\mathbb R^{1,1}\) and its Möbius geometry ⋮ Numerically stable conditions on rational and essential singularities

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