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math.CV2010★ 29 cited
The Gelfand-Tsetlin bases for spherical monogenics in dimension 3
S. Bock, K. Guerlebeck, R. Lavicka +1
The main aim of this paper is to recall the notion of the Gelfand-Tsetlin bases (GT bases for short) and to use it for an explicit construction of orthogonal bases for the spaces o…
math.CV2010★ 3 cited
Real-Part Estimates for Solutions of the Riesz System in
J. Morais, K. Guerlebeck
Main goal of this paper is to generalize Hadamard's real part theorem and invariant forms of Borel-Carathéodory's theorem from complex analysis to solutions of the Riesz system in…
math.CV2010★ 6 cited
On the development of Bohr's phenomenon in the context of Quaternionic analysis and related problems
J. Morais, K. Guerlebeck
The Bohr theorem states that any function , analytic and bounded in the open unit disk, obeys the inequality $\sum_{n=0}^{\infty} |a_{n}| |z…