Journal Article10.1215/S0012-7094-64-03118-7
A convolution product for discrete function theory
R. J. Duffin,C. S. Duris +1 more
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About: This article is published in Duke Mathematical Journal. The article was published on 01 Jun 1964. The article focuses on the topics: Convolution power & Circular convolution.
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Citations
On finite difference Dirac operators and their fundamental solutions
Klaus Gürlebeck,Angela Hommel +1 more
TL;DR: In this article, finite difference approximations of the Dirac operator are studied and compared, and the fundamental solutions of the difference operators are described and proved convergence results inlp-spaces.
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On finite difference potentials and their applications in a discrete function theory
Klaus Gürlebeck,A. Hommel +1 more
TL;DR: In this article, a potential theoretical method based on the approximation of the boundary value problem by a finite difference problem on a uniform lattice is presented, where the Laplace equation is studied and the theory of difference potentials is described.
36
Convolution products of monodiffric functions
TL;DR: In this article, it is shown that if D is a suitably restricted discrete domain then monodiffricity is preserved by each of these operations and some examples of their applicability are given.
15
A new approach to the theory of discrete analytic functions
TL;DR: In this paper, a formal power series approach to the theory of discrete analytic functions is given which not only gives new insight to the theoretical theory but also makes many proofs much simpler and shorter.
14