Bounds on stability of decompositions in semigroups of functions representable by Jacobi polynomial series

DOI10.1007/BF01105660zbMath0596.60021MaRDI QIDQ1078899

I. P. Trukhina

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

semigroupsdistributionsJacobi polynomialsconvolution semigroupmultiplicative semigroupdecompositions of probability

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Positive definite functions in one variable harmonic analysis (42A82) Convolution, factorization for one variable harmonic analysis (42A85) Distribution theory (60E99) Semigroups (20M99)

Cites Work

• Generalized convolutions and positive definite functions associated with general orthogonal series
• Positive definite functions on spheres
• Jacobi polynomial expansions with positive coefficients and imbeddings of projective spaces
• Linearization of the Product of Jacobi Polynomials. II
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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