Extension of a theorem of Laguerre to entire functions of exponential type
β Scribed by Q.I Rahman; G Schmeisser
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 219 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Applying the theory of generalized functions we obtain the Shannon sampling theorem for entire functions F z of exponential growth and give its error estimate which shows how much the error depends on the sampling size and bandwidth for given domain of the signal F z . As an application we obtain a
## 1 Ε½ . x 4 q my1h , and E E denotes the restriction to the real line β«ήβ¬ of entire j g β«ήβ¬ 2 functions of exponential type . From this connection, we solve two extremal problems of some fundamental classes of functions defined of β«.ήβ¬