Conditionally Negative Definite Functions
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DOI: 10.1007/s00009-018-1239-0
Abstract: Let $$f:[0,\infty )\rightarrow [0,\infty )$$f:[0,∞)→[0,∞) be an operator monotone function and $$g: \mathbb {R}\rightarrow [0,\infty )$$g:R→[0,∞) be a conditionally negative definite(in short cnd) function. We obtain that $$f\circ g:\mathbb {R}\rightarrow [0,\infty )$$f∘g:R→[0,∞) is also conditionally… read more here.
Keywords: conditionally negative; negative definite; definite functions; rightarrow infty ... See more keywords
Strictly and Strongly Positive Definite Functions on Locally Compact Hypergroups
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DOI: 10.1007/s00025-021-01466-7
Abstract: In this paper, we initiate and study strictly and strongly X-positive definite functions on a hypergroup K, where X is a subset of K, and give some equivalent conditions. read more here.
Keywords: strictly strongly; definite functions; positive definite; locally compact ... See more keywords
Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability
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DOI: 10.1007/s00220-018-3160-6
Abstract: A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite functions, called the Riesz–Coxeter product, from the Riesz product on the Rademacher (Abelian Coxeter)… read more here.
Keywords: positive definite; definite functions; coxeter; operator spaces ... See more keywords
On a Class of Quaternionic Positive Definite Functions and Their Derivatives
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DOI: 10.1063/1.4977082
Abstract: In this paper, we start the study of stochastic processes over the skew field of quaternions. We discuss the relation between positive definite functions and the covariance of centered Gaussian processes and the construction of… read more here.
Keywords: positive definite; definite functions; quaternionic positive; class quaternionic ... See more keywords
Strictly Positive Definite Functions on the Space of Infinite Diagonal Matrices
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DOI: 10.1134/s0001434619110324
Abstract: In this paper, using a Bochner-type theorem, we establish a characterization of strictly positive definite functions on the topological direct limit space D∞ of real diagonal matrices relatively to the action of the product group… read more here.
Keywords: strictly positive; definite functions; diagonal matrices; positive definite ... See more keywords