Abstract
We investigate conditions on kernel operators in order to provide prescribed orders of approximation in the Triebel-Lizorkin spaces. Our approach is based on the study of the boundedness of integral kernel operators and extends the Strang-Fix theory, related to the approximation orders of principal shift-invariant spaces, to a wide variety of spaces.
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Kyriazis, G. Approximation of Distribution Spaces by Means of Kernel Operators. J Fourier Anal Appl 2, 261–286 (1995). https://doi.org/10.1007/s00041-001-4032-5
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DOI: https://doi.org/10.1007/s00041-001-4032-5