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Common hypercyclic functions for multiples of convolution and non-convolution operators [PDF]

, 2009
We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds
Bernal González, Luis
core

Frequently hypercyclic abstract higher-order differential equations [PDF]

, 2018
In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
core +1 more source

Composition principles for generalized almost periodic functions [PDF]

, 2018
In this paper, we consider composition principles for generalized almost periodic functions. We prove several new composition principles for the classes of (asymptotically) Stepanov $p$-almost periodic functions and (asymptotically, equi-)Weyl $p$-almost
Kostic, Marko
core +1 more source

Limit and extended limit sets of matrices in Jordan normal form

, 2010
In this note we describe the limit and the extended limit sets of every vector for a single matrix in Jordan normal form.Comment: 10 pages, we corrected some typos and we added a ...
Costakis, George, Manoussos, Antonios
core

Existence and nonexistence of hypercyclic semigroups [PDF]

, 2007
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis, Grosse-Erdmann, Karl-Goswin +1 more
core

Hippocampal granule cell dispersion: a non-specific finding in pediatric patients with no history of seizures. [PDF]