23 citations · 49 across the 27 of their papers we have counts for
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Weyl calculus perspective on the discrete Stokes' formula in octonions
Rolf Sören Kraußhar, Dmitrii Legatiuk
Octonions are 8-dimensional hypercomplex numbers which form the biggest normed division algebras over the real numbers. Motivated by applications in theoretical physics, continuous…
Octonionic monogenic and slice monogenic Hardy and Bergman spaces
Fabrizio Colombo, Rolf Soeren Krausshar, Irene Sabadini
In this paper we discuss some basic properties of octonionic Bergman and Hardy spaces. In the first part we review some fundamental concepts of the general theory of octonionic Har…
Entire monogenic functions of given proximate order and continuous homomorphisms
F. Colombo, R. S. Krausshar, S. Pinton +1
Infinite order differential operators appear in different fields of mathematics and physics. In the past decade they turned out to play a crucial role in the theory of superoscilla…
Cauchy formulae and Hardy spaces in discrete octonionic analysis
Rolf Sören Kraußhar, Dmitrii Legatiuk
In this paper, we continue the development of a fundament of discrete octonionic analysis that is associated to the discrete first order Cauchy-Riemann operator acting on octonions…
On the generating functions and special functions associated with superoscillations
Fabrizio Colombo, Rolf Soeren Krausshar, Irene Sabadini +1
The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new…