4 citations · 5 across the 6 of their papers we have counts for
6 papers
Projective descriptions of spaces of functions and distributions
Christian Bargetz, Eduard A. Nigsch, Norbert Ortner
We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by semi-norms which are defined by a…
Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
Michael Kunzinger, Eduard A. Nigsch, Norbert Ortner
We present two new proofs of the exchange theorem for the Laplace transformation of vector-valued distributions. We then derive an explicit solution to the Dirichlet problem of the…
A simpler description of the -topologies on the spaces , ,
Christian Bargetz, Eduard A. Nigsch, Norbert Ortner
The -topologies on the spaces , and are defined by a neighbourhood basis consisting of polars of absolutely convex and compact subsets o…
A survey on duals of topological tensor products
Eduard A. Nigsch, Norbert Ortner
We give a survey on classical and recent results on dual spaces of topological tensor products as well as some examples where these are used.
The space of distributions vanishing at infinity - duals of tensor products
Eduard A. Nigsch, Norbert Ortner
Analogous to L.~Schwartz' study of the space of semi-regular distributions we investigate the topological properties of the space $\mathcal{D}'(\dot{\ma…
Kernel Identities and Vectorial Regularization
Christian Bargetz, Norbert Ortner
We present the method of "vectorial regularization" to prove kernel identities. This method is applied to derive both known kernel identities, e.g. $\dot{\mathcal{B}}_{xy}=\dot{\ma…