A Universal Constant for Exponential Riesz Sequences | Zendy

Alexander Lindner | Zendy

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A Universal Constant for Exponential Riesz Sequences

Author(s) -

Alexander Lindner

Publication year - 2000

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/967

Subject(s) - constant (computer programming) , mathematics , exponential function , exponential decay , pure mathematics , mathematical analysis , physics , computer science , quantum mechanics , programming language

The aim of this paper is to study certain correlations between lower and upper bounds of exponential Riesz sequences, in particular between the sharp lower and upper bounds, where we show that the product of the sharp bounds of an exponential Riesz sequence is bounded from above by a universal constant. The result is applied to the norms of coefficient and frame operators and their inverses.

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