Displaying similar documents to “Dense Subdifferentiability and Trustworthiness for Arbitrary Subdifferentials”

The operation of infimal convolution

Strömberg Thomas

Similarity:

AbstractThis paper is a survey article on the theory and applications of infimal convolution. We consider the convex as well as the nonconvex case. In particular, we provide a detailed investigation of the regularizing effects of infimal convolution, and study continuity properties of the operation with respect to notions of variational convergence. Several examples are included and well-known results are complemented, unified or extended in various ways. CONTENTS1. Introduction...

A limit theorem for the q-convolution

Anna Kula (2011)

Banach Center Publications

Similarity:

The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...

On a theorem of M. Itô

Gunnar Forst (1978)

Annales de l'institut Fourier

Similarity:

The note gives a simple proof of a result of M. Itô, stating that the set of divisors of a convolution kernel is a convex cone.