Sampling Theorem for Entire Functions of Exponential Growth
Copyright policy )Sampling Theorem for Entire Functions of Exponential Growth
A generalization of Shannon's sampling theorem is obtained for entire functions satisfying \(|F(z)|\leq C\exp\{L|z|^{1/s}+a|\text{ Im}(z)|\}\), where \(C, L, a\), and \(s\) are constants and \(s>1\). The sampling functions belong to a Gevrey class of order \(r\) \((1
- Kunsan National University Korea (Republic of)
- Pusan National University Korea (Republic of)
- Seoul National University Korea (Republic of)
- Sogang University Korea (Republic of)
sampling theorem, Coding theorems (Shannon theory), Representations of entire functions of one complex variable by series and integrals, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, heat equation, Applied Mathematics, entire function, exponential growth, Special classes of entire functions of one complex variable and growth estimates, Shannon theorem, Analysis
sampling theorem, Coding theorems (Shannon theory), Representations of entire functions of one complex variable by series and integrals, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, heat equation, Applied Mathematics, entire function, exponential growth, Special classes of entire functions of one complex variable and growth estimates, Shannon theorem, Analysis
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