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Contents. 2.1 Preliminaries and notation 2.2 Poisson representation of harmonic functions 2.3 Semigroup structures of the Poisson space 2.4 Almost periodic harmonic functions 2.5 Distal harmonic functions 2.6 Transitive group actions on Poisson spaces 2.7 Examples
In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by...
This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann...
The multi-resolution time-domain (MRTD) technique is a superior numerical algorithm over the long established finite difference time-domain (FDTD) technique. The advantages of low numerical dispersion and less memory intensive are particularly of interest for analyzing hybrid structures involving antennas and metamaterials. In this paper, the Haar wavelet based MRTD is reviewed. A stability comparison...
The multi-resolution time-domain (MRTD) technique is a superior numerical algorithm over the long established finite difference time-domain (FDTD) technique. The advantages of low numerical dispersion and less memory intensive are particularly of interest for analyzing hybrid structures involving antennas and metamaterials. In this paper, the Haar wavelet based MRTD is reviewed. A precise formulation...
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