Propagation of Regularity and Positive Definiteness: a Constructive Approach

Extending Positive Definiteness

The main result of this paper gives criteria for extendibility of mappings defined on symmetric subsets of ∗-semigroups to positive definite ones. By specifying the mappings in question we obtain new solutions of relevant issues in harmonic analysis concerning truncations of some important multivariate moment problems, like complex, two-sided complex and multidimensional trigonometric moment pr...

eplicitation in interlingual and intralingual translations of shahnameh ferdowsi: a text linguistic approach

بررسی و مقایسه تفاوتها و شباهت های ترجمه ی درون زبانی و برون زبانی با تمرکز بر زبانشناسی متن. برای امر مقایسه میزان بسامد تصریح به کار رفته در ترجمه ی درون زبانی و نیز برون زبانی شاهنامه ی فردوسی مورد بررسی قرار گرفت.

Computational Geometry of Positive Definiteness

In matrix computations, such as in factoring matrices, Hermitian and, preferably, positive definite elements are occasionally required. Related problems can often be cast as that of existence of respective elements in a matrix subspace. For two dimensional matrix subspaces, first results in this regard are due to Finsler. To assess positive definiteness in larger dimensional cases, the task bec...

A Constructive View of Complete Regularity

Differential Criteria for Positive Definiteness

We show how the Mellin transform can be used to derive differential criteria for integral representations of functions as scale mixtures, and apply this idea to derive differential criteria for positive definiteness of functions in a manner similar to that of Gneiting (1999,2001). We also give a simple derivation of Williamson’s result on multiply monotone functions (Williamson, 1956), with a l...