Results 231 to 240 of about 808,716 (283)

Distribution Functions and Positive-Definite Functions

The Annals of Mathematics, 1934
The distribution of the values of a real almost periodic function or more generally of an almost periodic curve in several dimensions has been investigated lately by Wintner, Haviland and others.' One of the methods applied by Wintner depends on the use of Fourier transforms and is as such a standard method in the theory of probability.
Bochner, Salomon, Jessen, B.
openaire   +1 more source

Complex Variable Positive Definite Functions

Complex Analysis and Operator Theory, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buescu, Jorge, Paixão, António
openaire   +3 more sources

Unbounded Positive Definite Functions

Canadian Journal of Mathematics, 1969
Let G be an abelian group, written additively. A complexvalued function ƒ, defined on G, is said to be positive definite if the inequality1holds for every choice of complex numbers C1, …, cn and S1, …, sn in G. It follows directly from (1) that every positive definite function is bounded. Weil (9, p.
openaire   +2 more sources

Inequalities for Positive Definite Functions

Mathematical Notes, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Positive Definite Functions and Operator Inequalities

Bulletin of the London Mathematical Society, 2000
Positive definite functions arise in various areas of mathematical analysis such as classical interpolation problems, the Loewner theory of monotone operator functions, operator inequalities and others. The present paper has two objectives. The first is to present and to advance a technique for proving the positive definiteness of some classes of ...
Bhatia, Rajendra, Parthasarathy, K. R.
openaire   +2 more sources

Positive Definite Functions and States

The Annals of Mathematics, 1954
This paper is concerned with the relation between the set P of continuous, positive definite functions on a locally compact group G and the set F of continuous, positive linear functionals on the group operator algebra A of G. This concern is motivated by an attempt to establish a connection between the procedure of Gelfand and Raikov [3] with the ...
openaire   +2 more sources

Weinstein positive definite functions

Positivity, 2017
Moving from trigonometric functions as eigenfunctions of the Laplace operator, the author uses analogous machinery of the Weinstein operators for introducing the notion of Weinstein positive definite functions. An analog of Bochner's theorem is proved.
openaire   +2 more sources