NDLI: Balayage and pseudo-differential operator frame inequalities

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2015 International Conference on Sampling Theory and Applications (SampTA)

Foreword of the proceedings of the 11th international conference on sampling theory and applications

Technical program committee

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Balayage and pseudo-differential operator frame inequalities

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Balayage and pseudo-differential operator frame inequalities

Content Provider	IEEE Xplore Digital Library
Author	Au-Yeung, E. Benedetto, J.J.
Copyright Year	2015
Description	Author affiliation: Dept. of Math. Sci., DePaul Univ., Chicago, IL, USA (Au-Yeung, E.) \|\| Dept. of Math., Univ. of Maryland, College Park, MD, USA (Benedetto, J.J.)
Abstract	Using his formulation of the potential theoretic notion of balayage and his deep results about this idea, Beurling gave sufficient conditions for Fourier frames in terms of balayage. The analysis makes use of spectral synthesis, due to Wiener and Beurling, as well as properties of strict multiplicity, whose origins go back to Riemann. In this setting and with this technology, with the goal of formulating non-uniform sampling formulas, we show how to construct frames using pseudo-differential operators. This work fits within the context of the short time Fourier transform (STFT) and time-frequency analysis.
Starting Page	573
Ending Page	577
File Size	265245
Page Count	5
File Format	PDF
ISBN	9781467373531
DOI	10.1109/SAMPTA.2015.7148956
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-05-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Context Time-frequency analysis Fourier transforms Harmonic analysis Electronic mail Numerical stability
Content Type	Text
Resource Type	Article

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