A Sampling Theorem for Signals Bandlimited to a General Domain in Several Dimensions
✍ Scribed by A.I. Zayed
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 427 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In the first part, we generalize the classical result of Bohr by proving that an m Ž analogous phenomenon occurs whenever D is an open domain in ރ or, more . Ž . ϱ generally, a complex manifold and is a basis in the space of holomorphic n ns0 Ž . Ž . functions H D such that s 1 and z s 0, n G 1,
We first prove local versions of the Poincare inequality for solutions to the Á-harmonic equation. Then, as applications of the local results, we obtain the global versions of the Poincare inequality for solutions to the A-harmonic equation śŽ . s in L , 0 -averaging domains and L -averaging domains