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SYMMETRY
2010
124views more  SYMMETRY 2010»
12 years 11 months ago
SU(2) and SU(1, 1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and
: We propose a group-theoretical approach to the generalized oscillator algebra A recently investigated in J. Phys. A: Math. Theor. 2010, 43, 115303. The case 0 corresponds to th...
Natig M. Atakishiyev, Maurice R. Kibler, Kurt Bern...
JAT
2007
56views more  JAT 2007»
13 years 4 months ago
Quasi-interpolation in the Fourier algebra
We derive new convergence results for the Schoenberg operator and more general quasi-interpolation operators. In particular, we prove that natural conditions on the generator func...
Hans Georg Feichtinger, Norbert Kaiblinger
TSP
2010
12 years 11 months ago
Algebraic signal processing theory: sampling for infinite and finite 1-D space
We derive a signal processing framework, called space signal processing, that parallels time signal processing. As such, it comes in four versions (continuous/discrete, infinite/fi...
Jelena Kovacevic, Markus Püschel
JAT
2006
77views more  JAT 2006»
13 years 4 months ago
On extensions of a theorem of Baxter
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This ...
Jeffrey S. Geronimo, Andrei Martínez-Finkel...
DAGM
2010
Springer
13 years 6 months ago
3D Object Detection Using a Fast Voxel-Wise Local Spherical Fourier Tensor Transformation
In this paper we present a novel approach for expanding spherical 3D-tensor fields of arbitrary order in terms of a tensor valued local Fourier basis. For an efficient implementati...
Henrik Skibbe, Marco Reisert, Thorsten Schmidt, Kl...