منابع مشابه
Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups
In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author ...
متن کاملStationary Max - Stable Fields Associated to Negative Definite Functions
Let Wi, i ∈ N, be independent copies of a zero-mean Gaussian process {W (t), t∈ R} with stationary increments and variance σ(t). Independently of Wi, let ∑∞ i=1 δUi be a Poisson point process on the real line with intensity e dy. We show that the law of the random family of functions {Vi(·), i ∈N}, where Vi(t) = Ui +Wi(t)− σ (t)/2, is translation invariant. In particular, the process η(t) = ∨∞ ...
متن کاملdecomposition of h*-algebra valued negative definite functions on topological *-semigroups
in the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup s with a weight function w into a proper h*-algebra a in terms of w-bounded continuous positive definite a-valued functions on s. a generalization of a well-known result of k. harzallah is obtained. an earlier conjecture of the author ...
متن کاملNeighborhoods of a class of analytic functions with negative coefficients
The main object of this paper is to prove several inclusion relations associated with the (n, δ) neighborhoods of various subclasses of starlike and convex functions of complex order by making use of the known concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.
متن کاملNeighborhoods of a Class of Analytic Functions with Negative Coefficients
H. Özlem Güney and S. Sümer Eker University of Dicle Faculty of Science and Arts, Department of Mathematics 21280, Diyarbakır, Turkey [email protected] & [email protected] Abstract We making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relations associated with the (n, δ)neighborhoods of various subclass of univalent functions with negative...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1963
ISSN: 0002-9939
DOI: 10.2307/2034298