Add to ORKGThe purpose of this paper is to give a proof of Bochner's theorem on positive definite functions in a locally compact second countable abelian group by a proba-bilistic method without using the theory of Banach algebras or general theory of representations. We reduce the problem to the Daniel-Kolmogorov constructio
In one of his recent papers, I. J. Kotlarski has proved the following result. If X1, X2, X3 are thre...
AbstractWe classify all functions on a locally compact, abelian group giving equality in an entropy ...
AbstractWe offer an elementary proof of Pontryagin duality theorem for compact and discrete abelian ...
In this paper we study quaternion-valued positive definite functions on locally compact Abelian grou...
Positive definite functions have played an important role in harmonic analysis and probability theor...
AbstractIn recent years, applications of cohomology theory to some aspects of probability theory hav...
We recognize a result of Schreiner, concerning strictly positive definite functions on a sphere in a...
AbstractThe definitions of positivity and positive definiteness are extended to generalized function...
We show that, for positive de finite kernels, ifspecific forms of regularity (continuity, S-n-differ...
Introduction. Let G be a locally cornpact Abelian group and let f be its dual group. We present a Bo...
AbstractLet G be a semisimple noncompact Lie group with finite center and let K be a maximal compact...
The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are...
In this paper we define classes of functions which we call positive definite kernel functions and po...
Let G be a semisimple noncompact Lie group with finite center and let K be a maximal compact subgrou...
© 2015 IOP Publishing Ltd. Bochner's theorem gives the necessary and sufficient conditions on a func...
In one of his recent papers, I. J. Kotlarski has proved the following result. If X1, X2, X3 are thre...
AbstractWe classify all functions on a locally compact, abelian group giving equality in an entropy ...
AbstractWe offer an elementary proof of Pontryagin duality theorem for compact and discrete abelian ...
In this paper we study quaternion-valued positive definite functions on locally compact Abelian grou...
Positive definite functions have played an important role in harmonic analysis and probability theor...
AbstractIn recent years, applications of cohomology theory to some aspects of probability theory hav...
We recognize a result of Schreiner, concerning strictly positive definite functions on a sphere in a...
AbstractThe definitions of positivity and positive definiteness are extended to generalized function...
We show that, for positive de finite kernels, ifspecific forms of regularity (continuity, S-n-differ...
Introduction. Let G be a locally cornpact Abelian group and let f be its dual group. We present a Bo...
AbstractLet G be a semisimple noncompact Lie group with finite center and let K be a maximal compact...
The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are...
In this paper we define classes of functions which we call positive definite kernel functions and po...
Let G be a semisimple noncompact Lie group with finite center and let K be a maximal compact subgrou...
© 2015 IOP Publishing Ltd. Bochner's theorem gives the necessary and sufficient conditions on a func...
In one of his recent papers, I. J. Kotlarski has proved the following result. If X1, X2, X3 are thre...
AbstractWe classify all functions on a locally compact, abelian group giving equality in an entropy ...
AbstractWe offer an elementary proof of Pontryagin duality theorem for compact and discrete abelian ...