D. Vogt

activity

20132020

most citedSurjectivity of Euler operators on temperate distributions

7 citations · 21 across the 6 of their papers we have counts for

collaborators

9 papers

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.FA2017★ 7 cited

Surjectivity of Euler operators on temperate distributions

Dietmar Vogt

Euler operators are partial differential operators of the form $P (θ)$ where $P$ is a polynomial and $θ_{j} = x_{j} \partial / \partial x_{j}$ . We show that every non-trivial Euler operator…

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…

math.FA2015

Hadamard operators on $D^{'} (R^{d})$

Dietmar Vogt

We study continuous linear operators on $D^{'} (R^{d})$ which admit all monomials as eigenvectors, that is, operators of Hadamard type. Such operators on $C^\infty(\ma…

Exposé on a paper of Dronov and Kaplitzkii

Hadamard type operators on temperate distributions

Euler partial differential equations and Schwartz distributions

Surjectivity of Euler operators on temperate distributions

Hadamard operators on D′(Ω)

Hadamard operators on D′(Rd)

Hadamard operators on $D^{'} (Ω)$

Hadamard operators on $D^{'} (R^{d})$