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Zeitschrift für Analysis und ihre Anwendungen


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Volume 19, Issue 2, 2000, pp. 553–559
DOI: 10.4171/ZAA/967

Published online: 2000-06-30

A Universal Constant for Exponential Riesz Sequences

A.M. Lindner[1]

(1) Technische Universität München, München Garching, Germany

The aim of this paper is to study certain correlations between lower and upper bounds of exponential Riesz sequences, in particular between 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.

Keywords: Sharp bounds, exponential Riesz sequences, exponential Riesz bases, exponential frames

Lindner A.M.: A Universal Constant for Exponential Riesz Sequences. Z. Anal. Anwend. 19 (2000), 553-559. doi: 10.4171/ZAA/967