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6 results on '"Primary 43A35"'

1. Extensions of positive definite functions on free groups

Author

Bakonyi, M. and Timotin, D.

Subjects
Mathematics - Functional Analysis, Mathematics - Operator Algebras, Primary 43A35, Secondary 05C50, 43A65, 47A57, 47A20
Abstract

An analogue of Krein's extension theorem is proved for operator-valued positive definite functions on free groups. The proof gives also the parametrization of all extensions by means of a generalized type of Szego parameters. One singles out a distinguished completion, called central, which is related to quasi-multiplicative positive definite functions. An application is given to factorization of noncommutative polynomials.

Published
2005

2. Extending positive definite functions from subgroups of nilpotent locally compact groups.

Author

Kaniuth, Eberhard

Subjects
*MATHEMATICAL functions, *SUBGROUP growth, *NILPOTENT groups, *COMPACT groups, *HEISENBERG model, *GROUP extensions (Mathematics)
Abstract

Continuing research begun in [15] and [16] , we investigate the problem of when a closed subgroup H of a nilpotent locally compact group G has the property that every continuous positive definite function on H extends to some such function on G . The main result is an identification of all subgroups of the Heisenberg groups which share this property. [ABSTRACT FROM AUTHOR]

Published
2017
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3. Extensions of positive definite functions on free groups

Author

Mihály Bakonyi and Dan Timotin

Subjects
Pure mathematics, Free group, Mathematics - Operator Algebras, Primary 43A35, Positive-definite matrix, Extension (predicate logic), Type (model theory), Secondary 05C50, 43A65, 47A57, 47A20, Noncommutative geometry, Functional Analysis (math.FA), Mathematics - Functional Analysis, Positive definite function, Positive-definite function, Factorization, Extension, FOS: Mathematics, Operator Algebras (math.OA), Parametrization, Analysis, Mathematics
Abstract

An analogue of Krein's extension theorem is proved for operator-valued positive definite functions on free groups. The proof gives also the parametrization of all extensions by means of a generalized type of Szego parameters. One singles out a distinguished completion, called central, which is related to quasi-multiplicative positive definite functions. An application is given to factorization of noncommutative polynomials.

Published
2007
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