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Sampling expansion of bandlimited functions of polynomial growth on the real line

신창언
대한수학회 (The Korean Mathematical Society)|2014.04|대한수학회논문집 (Communications of the KMS)|제29권 제2호|pp. 379-385

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참고문헌

키워드

Shannon samplingnonuniform samplingbandlimited functionpolynomial growth
주제분류수학

초록

For a bandlimited function with polynomial growth on the real line, we derive a nonuniform sampling expansion using a special bandlimited function which has polynomial decay on the real line. The series converges uniformly on any compact subsets of the real line.

Abstract

For a bandlimited function with polynomial growth on the real line, we derive a nonuniform sampling expansion using a special bandlimited function which has polynomial decay on the real line. The series converges uniformly on any compact subsets of the real line.

참고문헌 (17)

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관련 논문AI추천

SAMPLING EXPANSIONS OF BANDLIMITED FUNCTIONS WITH ALTERNATE DERIVATIVE SAMPLING VALUES김윤식, 신창언장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONSMahmoud H. Annaby, Rashad M. Asharabi대한수학회 · 대한수학회지2010 · 제47권 제6호Perturbation of nonharmonic Fourier series and nonuniform sampling theorem박희철, 신창언대한수학회 · 대한수학회보2007 · 제44권 제2호Sampling theorems associated with differential operators with finite rank perturbationsHassan A. Hassan, Mahmoud H. Annaby, Omar H. El-Haddad대한수학회 · 대한수학회지2016 · 제53권 제5호Approximation by Generalized Kantorovich Sampling Type SeriesAngamuthu Sathish Kumar, Ponnaian Devaraj경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호SETS OF UNIQUENESS, WEAKLY SUFFICIENT SETS AND SAMPLING SETS FOR A-∞(B)Le Hai Khoi대한수학회 · 대한수학회보2010 · 제47권 제5호

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