Hypercyclic sequences of PDE-preserving operators |
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Authors: | Henrik Petersson |
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Affiliation: | School of Mathematical Sciences, Chalmers/Göteborg University, SE-412 96 Göteborg, Sweden |
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Abstract: | A sequence of continuous linear operators is said to be hypercyclic if there exists a vector , called hypercyclic for , such that {Tnx:n0} is dense. A continuous linear operator, acting on some suitable function space, is PDE-preserving for a given set of convolution operators, when it map every kernel set for these operators invariantly. We establish hypercyclic sequences of PDE-preserving operators on , and study closed infinite-dimensional subspaces of, except for zero, hypercyclic vectors for these sequences. |
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Keywords: | Hypercyclic sequence Universal Hypercyclic subspace Hypercyclic spectrum PDE-preserving Entire function |
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