Philipp Berglez

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We consider a generalized Vekua equation in biquaternionic formalism where the Cauchy-Riemann operator is replaced by the differential operator D of Dirac. For particular classes we construct differential operators of higher order which give a relation between the monogenic functions as solutions of Dw = 0 and the generalized pseudoanalytic functions as(More)
SUMMARY Precise Point Positioning (PPP) is a satellite based positioning technique aiming at highest accuracy in close to real-time. First investigations using dual frequency data from a single GPS receiver data for a few cm-positioning in post-processing mode have been published in 1997 by JPL. Utilizing the ionosphere free linear combination the remaining(More)
BIOGRAPHIES Philipp Berglez is working as project manager and software engineer at TeleConsult Austria GmbH since 2006. In 2006 he received a diploma in Geodesy and where he is currently pursuing his PhD as a Research and Teaching Associate. His main research interests are information theory and wireless communications. of Technology. His main research(More)
We consider functions with values in the Clifford algebra Cl p,q which are solutions of a certain class of the iterated generalized Bers-Vekua equation D m w = 0 with Dw = ∂w + c ¯ w where ∂ = n j=0 e j ∂/∂x j is the generalized Cauchy-Riemann operator. We prove that any such function w has a Almasi-type decomposition of the form w = v 0 + x 0 v 1 +. .. + x(More)
We consider a generalized Vekua equation in biquaternionic formalism where the Cauchy-Riemann operator is replaced by the differential operator D of Dirac. For particular classes we construct differential operators of higher order which give a relation between the monogenic functions as solutions of Dw = 0 and the generalized pseudoanalytic functions as(More)
We consider functions with values in the Clifford algebra Cl p,q which are solutions of a certain class of the iterated generalized Bers-Vekua equation D m w = 0 with Dw = ∂w + c ¯ w where ∂ = n j=0 e j ∂/∂x j is the generalized Cauchy-Riemann operator. We prove that any such function w has a Almasi-type decomposition of the form w = v 0 + x 0 v 1 +. .. + x(More)
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