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Complex Positive Definite Functions on Strips
Complex Analysis and Operator Theory, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buescu, Jorge +2 more
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On the Measurability of Positive Definite and Conditionally Positive Definite Functions
Mathematische Nachrichten, 1986Let f be a positive definite function on a locally compact abelian group G. In this paper we show that measurability of f on an open neighbourhood of the zero implies measurability of f on G. The same result holds for conditionally positive definite functions.
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On Quotients of Positive Definite Functions
Acta Mathematica Hungarica, 2000Let \(E'\) be the space of distributions with compact support and \(S\) be the space of complex valued Schwartz functions. The main result is: Let \(f:\mathbb R\to \mathbb R\) be the Fourier transform of a real \(T\in E'\). Then \(f\) is the quotient of two positive definite functions from \(S\) if and only if \(f(0)\neq 0\).
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On Positive-Definite Functions
Proceedings of the London Mathematical Society, 1956openaire +1 more source
Positive Definite Functions on Separable Function Spaces
1996A notion of a separable function space is defined. It is proved that a positive definite function on the semigroup of the positive elements of a separable function space is the Laplace transform of a measure concentrated on the set of positive functionals.
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Evolving standards of care and new challenges in the management of HER2‐positive breast cancer
Ca-A Cancer Journal for Clinicians, 2020Grace M Choong +2 more
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Symmetrically Positive Definite Functions
1974In this thesis we study the representation theorems for evenly positive definite functions on Euclidean spaces. A generalization of the concept of evenness on R^n to a concept of symmetry on any locally compact abelian group is given. In addition, a result analogous to the Weil-Povzner-Raikov Theorem is obtained for the representation of symmetrically
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