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Listar por autor "Frerick, Leonhard"

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Listar por autor "Frerick, Leonhard"

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    Extension operators for smooth functions on compact subsets of the reals 
    Frerick, Leonhard; Jorda Mora, Enrique; Wengenroth, Jochen (Springer-Verlag, 2020-08)
    [EN] We introduce sufficient as well as necessary conditions for a compact set K such that there is a continuous linear extension operator from the space of restrictions C-infinity (K) = {F vertical bar(K) : F is an element ...
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    Frequent hypercyclicity, chaos, and unconditional Schauder decompositions 
    De la Rosa Penilla, Manuel; Frerick, Leonhard; Grivaux, Sophie; Peris Manguillot, Alfredo (Springer Verlag (Germany), 2012-08)
    We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...
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    Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables 
    Bayart, Frederic; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla Peris, Pablo (Springer-Verlag, 2017)
    [EN] Let H-infinity be the set of all ordinary Dirichlet series D = Sigma(n) a(n)(n-1) ann-s representing bounded holomorphic functions on the right half plane. A completely multiplicative sequence (b(n)) of complex numbers ...
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    Strongly continuous semigroups on some Fréchet spaces 
    Frerick, Leonhard; Jorda Mora, Enrique; Kalmes, Thomas; Wengenroth, Jochen (Elsevier, 2014-04-01)
    We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequences, its generator is a continuous linear operator A is an element of L(omega) and that, for all x is an element of omega ...
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    Tame linear extension operators for smooth Whitney functions 
    Frerick, Leonhard; Jorda Mora, Enrique; Wengenroth, Jochen (Elsevier, 2011-08-01)
    For a compact set K subset of R(d) we present a rather easy construction of a linear extension operator E : epsilon (K) -> C(infinity) for the space of Whitney jets epsilon (K) which satisfies linear tame continuity estimates ...
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    The division problem for tempered distributions of one variable 
    Bonet Solves, José Antonio; Frerick, Leonhard; Jorda Mora, Enrique (Elsevier, 2012-03)
    We give a characterization, in one variable case, of those C-infinity multipliers F such that the division problem is solvable in S'(R). For these functions F is an element of O-M (R) we even prove that the multiplication ...
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    Whitney extension operators with arbitrary loss of differentiability 
    Frerick, Leonhard; Arne Jakobs; Jorda Mora, Enrique; Wengenroth, Jochen (Elsevier, 2020-09-01)
    [EN] For a compact set K subset of R-d we characterize the existence of a linear extension operator E: E(K) -> C-infinity (R-d) for the space of Whitney jets E(K) with a certain loss of derivatives sigma, that is, the ...
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    Whitney extension operators without loss of derivatives 
    Frerick, Leonhard; Jorda Mora, Enrique; Wengenroth, Jochen (European Mathematical Society, 2016)
    [EN] For a compact set K subset of R-d we characterize the existence of a linear extension operator E: E (K) -> C-infinity(R-d) for the space of Whitney jets E (K) without loss of derivatives, that is, it satisfies the ...