5 papers
Zero modes and Dirac-(logarithmic) Sobolev-type inequalities
Marianna Chatzakou, Uwe Kahler, Michael Ruzhansky
We study the decay rate of the zero modes of the Dirac operator with a matrix-valued potential that is considered here without any regularity assumptions, compared to the existing…
A space-based method for the generation of a Schwartz function with infinitely many generalized vanishing moments with applications in image processing
Thomas Fink, Uwe Kähler
In this article we construct a function with infinitely many vanishing (generalized) moments. This is motivated by an application to the Taylorlet transform which is based on the c…
Spherical -type Operators in Clifford Analysis and Applications
Wanqing Cheng, John Ryan, Uwe Kähler
The -operator (Ahlfors-Beurling transform) plays an important role in solving the Beltrami equation. In this paper we define two -operators on the n-sphere. The first spheric…
Generating functions for spherical harmonics and spherical monogenics
Paula Cerejeiras, Uwe Kaehler, Roman Lavicka
In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics in R^m. Here spherical monogenics are polynomial solu…
A lower bound for the uniform Schoenberg operator
Johannes Nagler, Uwe Kähler
We present an estimate for the lower bound for the Schoenberg operator with equidistant knots in terms of the second order modulus of smoothness. We investigate the behaviour of it…