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Entire Functions of Exponential Type Belonging to L p (R)
Author(s) -
Grozev Georgi R.,
Rahman Qazi I.
Publication year - 1994
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/50.1.121
Subject(s) - mathematics , exponential type , extension (predicate logic) , exponential function , inequality , type (biology) , pure mathematics , entire function , bernstein inequalities , combinatorics , mathematical analysis , ecology , computer science , biology , programming language
We prove for entire functions of exponential type an inequality which is analogous to a classical inequality of J. Marcinkiewicz. Our inequality can just as well be seen as an extension of a result of M. Plancherel and G. Pólya. In passing, we obtain a generalized version of the famous Whittaker‐Shannon Sampling Theorem.
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