D. Vogt

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20162020

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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…