In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille-Yosida type operator with a non-dense ...

In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a ψ-Hilfer pseudo-fractional derivative and function convolution. ...

We study the essential spectrum and Fredholm properties of certain integral and pseudo-differential operators associated to non-commutative locally compact groups G. The techniques involve crossed product C*-algebras. We ...

This paper deals with a systematic study of the convolution operator Kf = f (*) k defined on weighted pseudo almost periodic functions space PAP(X, rho) and with k is an element of L-1(R). Upon making several different ...

We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product Xi := G x g(#) between a connected simply connected nilpotent Lie group and the dual of its Lie algebra. The starting ...

In recent papers and books, a global quantization has been developed for unimodular groups of type I. It involves operator-valued symbols defined on the product between the group G and its unitary dual G^ , composed of ...

We study bounded operators defined in terms of the regular representations of the C*-algebra of an amenable, Hausdorff, second countable, locally compact groupoid endowed with a continuous 2-cocycle. We concentrate on ...