AbstractThe definitions of positivity and positive definiteness are extended to generalized function algebras in coherence with the corresponding notions for distributions. Versions of Bochner's theorem for a positive definite Colombeau generalized function are given
We construct an algebra of generalized functions endowed with a canonical embedding of the space of ...
AbstractWe derive a set of differential inequalities for positive definite functions based on previo...
We introduce and study new modules and spaces of generalized functions that are related to the class...
AbstractThe definitions of positivity and positive definiteness are extended to generalized function...
nuloIn this paper we present an overview of the implications of our previously derived results for p...
In this note, the correspondence between the solutions of the heat equation and the positive-definit...
We propose necessary and sufficient conditions for a distribution (generalized function) fof se...
It is well known that positive definite functions are bounded, taking their maximum absolute value a...
Positive definite functions have played an important role in harmonic analysis and probability theor...
We define an extension of operator-valued positive definite functions from the real or complex setti...
We study functions f: (a, b) → R on open intervals in R with respect to various kinds of positive an...
AbstractWe give a complete characterization of the strictly positive definite functions on the real ...
It is widely known that positive and conditionally negative definite functions take finite values at...
This paper gives a survey of results in the mathematical literature on positive definite kernels and...
The celebrated Schoenberg theorem establishes a relation between positive definite and conditionally...
We construct an algebra of generalized functions endowed with a canonical embedding of the space of ...
AbstractWe derive a set of differential inequalities for positive definite functions based on previo...
We introduce and study new modules and spaces of generalized functions that are related to the class...
AbstractThe definitions of positivity and positive definiteness are extended to generalized function...
nuloIn this paper we present an overview of the implications of our previously derived results for p...
In this note, the correspondence between the solutions of the heat equation and the positive-definit...
We propose necessary and sufficient conditions for a distribution (generalized function) fof se...
It is well known that positive definite functions are bounded, taking their maximum absolute value a...
Positive definite functions have played an important role in harmonic analysis and probability theor...
We define an extension of operator-valued positive definite functions from the real or complex setti...
We study functions f: (a, b) → R on open intervals in R with respect to various kinds of positive an...
AbstractWe give a complete characterization of the strictly positive definite functions on the real ...
It is widely known that positive and conditionally negative definite functions take finite values at...
This paper gives a survey of results in the mathematical literature on positive definite kernels and...
The celebrated Schoenberg theorem establishes a relation between positive definite and conditionally...
We construct an algebra of generalized functions endowed with a canonical embedding of the space of ...
AbstractWe derive a set of differential inequalities for positive definite functions based on previo...
We introduce and study new modules and spaces of generalized functions that are related to the class...
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