D. Vogt

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20162020

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math.FA2020

Exposé on a paper of Dronov and Kaplitzkii

Dietmar Vogt

Dronov and Kaplitzki showed that every complemented subspace of a nuclear Köthe space E with a regular basis of type ( $d_{1}$ ) has a basis so, in particular, solving the long standin…

math.FA2018

Hadamard type operators on temperate distributions

Dietmar Vogt

We study Hadamard operators on $S^{'} (R^{d})$ and give a complete characterization. They have the form $L (S) = S * T$ where * here means the multiplicative convolution and T is in the space…

math.FA2018

Euler partial differential equations and Schwartz distributions

Dietmar Vogt

Euler operators are partial differential operators of the form $P (θ)$ where $P$ is a polynomial and $θ_{j} = x_{j} \partial / \partial x_{j}$ . They are surjective on the space of temperate…

math.FA2016

Hadamard operators on $D^{'} (Ω)$

Dietmar Vogt

For open sets $Ω \subset R^{d}$ we study Hadamard operators on $D^{'} (Ω)$ , that is, continuous linear operators which admit all monomials as eigenvectors. We character…

Exposé on a paper of Dronov and Kaplitzkii

Hadamard type operators on temperate distributions

Euler partial differential equations and Schwartz distributions

Hadamard operators on D′(Ω)

Hadamard operators on $D^{'} (Ω)$