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An application of limiting interpolation to Fourier series theory

 
: Doktorski, Leo R.Ya.

:

Böttcher, A. (Ed.):
The Diversity and Beauty of Applied Operator Theory
Cham: Springer International Publishing, 2018 (Operator theory. Advances and applications 268)
ISBN: 978-3-319-75995-1 (Print)
ISBN: 978-3-319-75996-8 (Online)
S.179-191
Englisch
Aufsatz in Buch
Fraunhofer IOSB ()
orthonormal bounded system; fourier coefficient; real interpolation method; limiting reiteration theorems

Abstract
The limiting real interpolation method is applied to describe the behavior of the Fourier coefficients of functions that belong to spaces which are “very close” to L2. The Fourier coefficients are taken with respect to bounded orthonormal systems.

: http://publica.fraunhofer.de/dokumente/N-494137.html