Sampling expansions and generalized translation invariance
β Scribed by R.F. Hoskins; J. Sousa Pinto
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 506 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
The generalized sampling theorem of Kramer is derived and interpreted in the context of the theory of linear systems satisfying a generalized form of translation invariance. The results are extended to theform of expansions developed by Papoulis and by Campbell.
D[(tox)oy)]
= Iim Z(t,x,y) A-t0
π SIMILAR VOLUMES
A multiresolution analysis for an orthogonal family of wavelets is usually not translation invariant. A concept of weak translation invariance is introduced and shown to hold for a class of Meyer wavelets and in fact characterizes this class. Other operators such as dilation, differentiation, and co
In the setting of rearrangement invariant (r.i.) Banach function spaces E on [0, ) we study the complementability of subspaces Q a generated by sequences of translations of functions a # E[0, 1). An r.i. function space E is said to be nice (in short, E # N) if every subspace of type Q a is complemen