Analytic Functions in Local Shift-Invariant Spaces and Analytic Limits of Level Dependent Subdivision
نویسندگان
چکیده
Abstract In this paper we characterize all subspaces of analytic functions in finitely generated shift-invariant spaces with compactly supported generators and provide explicit descriptions their elements. We illustrate the differences between our characterizations Strang-Fix or zero conditions on several examples. Consequently, depict by scalar vector subdivision masks bounded unbounded support. particular, prove that exponential polynomials are indeed only limits level dependent schemes masks.
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2021
ISSN: ['1531-5851', '1069-5869']
DOI: https://doi.org/10.1007/s00041-021-09836-z