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Dynamics of non-convolution operators and holomorphy types
(Academic Press Inc Elsevier Science, 2018-12)
In this article we study the hypercyclic behavior of non-convolution operators defined on spaces of analytic functions of different holomorphy types over Banach spaces. The operators in the family we analyze are a composition ...
Hypercyclic behavior of some non-convolution operators on H(CN)
(Theta Foundation, 2017-01)
We study hypercyclicity properties of a family of non-convolution operators defined on the spaces of entire functions on CN. These operators are a composition of a differentiation operator and an affine composition operator, ...
DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)
Cyclic Maximal Ideals of Rings of Differential Operators over Power Series Rings
(TAYLOR & FRANCIS INC, 2010)
In [3], Bratti and Takagi conjectured that a first order differential operator S=11 +...+ nn+ with 1,..., n, {x1,..., xn} does not generate a cyclic maximal left (or right) ideal of the ring of differential operators. This ...
DIFFERENTIABILITY OF SOLUTIONS OF THE ABSTRACT CAUCHY PROBLEM
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)
Essential spectrum and fredholm properties for perators on locally compact groups
(Theta Foundation, 2017)
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 ...
EXISTENCE OF PERIODIC SOLUTIONS OF NEUTRAL FUNCTION AL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2000)
Conformally invariant differential operators and bilinear functionals in six dimensionsConformally invariant differential operators and bilinear functionals in six dimensions
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2008)
Congruence of selfadjoint operators
(Springer, 2009-11)
Given a bounded selfadjoint operator a in a Hilbert space H, the aim of this paper is to study the orbit of a, i.e., the set of operators which are congruent to a. We establish some necessary and sufficient conditions for ...
Pseudo-almost periodic solutions for abstract partial functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
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 ...