Equivalence of Convolution Systems in a Behavioral Framework

2003 ◽  
Vol 16 (2-3) ◽  
pp. 175-206 ◽  
Author(s):  
S. J. L. van Eijndhoven ◽  
L. C. G. J. M. Habets
Keyword(s):  
Convolution Systems

scholarly journals Generalized sampling: From shift-invariant to U-invariant spaces

2015 ◽  
Vol 13 (03) ◽  
pp. 303-329 ◽  
Author(s):  
H. R. Fernández-Morales ◽  
A. G. García ◽  
M. A. Hernández-Medina ◽  
M. J. Muñoz-Bouzo
Keyword(s):  
Invariant Subspaces ◽  
Invertible Operator ◽  
Continuous Group ◽  
Sampling Frame ◽  
Generalize Convolution ◽  
Time Jitter ◽  
Generalized Sampling ◽  
Frame Expansions ◽  
Invariant Spaces ◽  
Convolution Systems

The aim of this article is to derive a sampling theory in U-invariant subspaces of a separable Hilbert space ℋ where U denotes a unitary operator defined on ℋ. To this end, we use some special dual frames for L2(0, 1), and the fact that any U-invariant subspace with stable generator is the image of L2(0, 1) by means of a bounded invertible operator. The used mathematical technique mimics some previous sampling work for shift-invariant subspaces of L2(ℝ). Thus, sampling frame expansions in U-invariant spaces are obtained. In order to generalize convolution systems and deal with the time-jitter error in this new setting we consider a continuous group of unitary operators which includes the operator U.

Fast Runge–Kutta methods for nonlinear convolution systems of Volterra integral equations

2007 ◽  
Vol 47 (2) ◽  
pp. 259-275 ◽  
Author(s):  
G. Capobianco ◽  
D. Conte ◽  
I. Del Prete ◽  
E. Russo
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Runge Kutta ◽  
Convolution Systems

Decentralized Control in Multivariable Convolution Systems

1993 ◽  
Vol 26 (2) ◽  
pp. 887-890 ◽  
Author(s):  
N.E. Gough ◽  
I.H. Ting ◽  
G.M. Dimirovski ◽  
V.P. Deskov
Keyword(s):  
Decentralized Control ◽  
Convolution Systems

scholarly journals Some optimization problems for convolution systems over finite groups

1977 ◽  
Vol 34 (3) ◽  
pp. 227-247 ◽  
Author(s):  
M.G. Karpovsky ◽  
E.A. Trachtenberg
Keyword(s):  
Finite Groups ◽  
Optimization Problems ◽  
Convolution Systems
Sign in / Sign up

Export Citation Format

Share Document