Fourier Frames for the Cantor-4 Set
نویسندگان
چکیده
منابع مشابه
The Cantor Set
Analysis is the science of measure and optimization. As a collection of mathematical fields, it contains real and complex analysis, functional analysis, harmonic analysis and calculus of variations. Analysis has relations to calculus, geometry, topology, probability theory and dynamics. We will focus mostly on ”the geometry of fractals” today. Examples are Julia sets which belong to the subfiel...
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We solve the problem of Duffin and Schaeffer (1952) of characterizing those sequences of real frequencies which generate Fourier frames. Equivalently, we characterize the sampling sequences for the Paley-Wiener space. The key step is to connect the problem with de Branges’ theory of Hilbert spaces of entire functions. We show that our description of sampling sequences permits us to obtain a cla...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2016
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-016-9471-0