Linear picard sets for entire functions
β Scribed by I. N. Baker
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 481 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
## Abstract We consider continuous monotone linear functionals on a locally convex ordered topological vector space that are sandwiched between a given \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$(\mathbb R\cup \lbrace +\infty \rbrace )$\end{document}βvalued subline
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
We obtain, for entire functions of exponential type, a complementary result and a generalization of a quadrature formula with nodes at the zeros of Bessel functions. Our formula contains a sequence of rational fractions whose properties are studied.
A set function is a function whose domain is the power set of a set, which is assumed to be finite in this paper. We treat a possibly nonadditive set function, i.e., Ε½ . Ε½ . a set function which does not satisfy necessarily additivity, A q B s Ε½ . AjB for A l B s Π», as an element of the linear space