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- W3045096624 abstract "We discuss the problems of uniqueness, sampling and reconstruction with derivatives in the space of bandlimited functions. We prove that if X is sequence of real numbers such that the maximum gap between two consecutive samples is less than certain positive constant c, then bandlimited function of bandwidth {sigma} can be reconstructed uniquely and stably from its nonuniform samples involving derivatives. We also prove that if the maximum gap is less than or equal to c, then X is a set of uniqueness for the space of bandlimited functions of bandwidth {sigma} when the samples involving k-1 derivatives. As a by-product we obtain the sharp maximum gap condition for samples involving first derivatives." @default.
- W3045096624 created "2020-07-29" @default.
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- W3045096624 date "2020-07-22" @default.
- W3045096624 modified "2023-09-27" @default.
- W3045096624 title "Sharp results on sampling with derivatives in bandlimited functions" @default.
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