Pedro J. Miana

Hypercyclic and topologically mixing cosine functions on Banach spaces

Our first aim in this paper is to give sufficient conditions for the hypercyclicity and topological mixing of a strongly continuous cosine function. We apply these results to study the cosine function associated to translation groups. We also prove that every separable infinite dimensional complex Banach space admits a topologically mixing uniformly continuous cosine family.

Convolutions, Fourier trigonometric transforms and applications

We use a dual convolution to the classical convolution in L 1(ℝ+) to find other expressions to Fourier trigonometric convolutions. These convolutions are used to get trigonometric equalities and formulae with special functions.

C 0 -semigroups and resolvent operators approximated by Laguerre expansions

In this paper we introduce Laguerre expansions to approximate vector-valued functions expanding on the well-known scalar theorem. We apply this result to approximate

Two Algorithms for Computing the Randles–Sevcik Function from Electrochemistry

C_0

H ∞ -functional calculus and models of Nagy–Foiaş type for sectorial operators

-semi\-groups and resolvent operators in abstract Banach spaces. We study certain Laguerre functions, its Laplace transforms and the convergence of Laguerre series in Lebesgue spaces. The concluding section of this paper is devote to consider some examples of

Sharp extensions and algebraic properties for solution families of vector-valued differential equations

C_0

Uniform stability of (a, k)-regularized families

-semigroups: shift, convolution and holomorphic semigroups where some of these results are improved.

Uniformly bounded limit of fractional homomorphisms

AbstractWe derive two expansions of the Randles–Sevcik function

Convolution Algebraic Structures Defined by Hardy-Type Operators

\sqrt \pi X(x)