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q-Gamow States as continuous linear functionals on analytical test functions
(Elsevier Science, 2016-04)
We define here q-Gamow states corresponding to Tsallis' q-statistics. We compute for them their norm, mean energy value and the q-analogue of the Breit-Wigner distribution (a q-Breit-Wigner).
A state-space description for perfect-reconstruction wavelet FIR filter banks with special orthonormal basis functions
(2015-06-15)
This paper presents a state space description for wavelet FIR filter banks with perfect reconstruction using special orthonormal basis functions. The FIR structure guarantees the BIBO stability, robustness and improves the ...
QUASIDISTRIBUTIONS and COHERENT STATES FOR FINITE-DIMENSIONAL QUANTUM SYSTEMS
(Springer, 2011-07-01)
In recent years, an approach to discrete quantum phase spaces which comprehends all the main quasiprobability distributions known has been developed. It is the research that started with the pioneering work of Galetti and ...
Some results on holomorphic generalized functions
(TAYLOR & FRANCIS LTD, 2011)
In this note, we present three independent results within generalized complex analysis (in the Colombeau sense). The first of them deals with non-removable singularities; we construct a generalized function u on an open ...
Decoupling of proper transfer functions
(Birkhauser Verlag AgBaselSuíça, 2004)
Useful dual functional of entropic information measures
(Molecular Diversity Preservation International, 2020-04-24)
There are entropic functionals galore, but not simple objective measures to distinguish between them. We remedy this situation here by appeal to Born’s proposal, of almost a hundred years ago, that the square modulus of ...