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  4. An application of limiting interpolation to Fourier series theory
 
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2018
Book Article
Title

An application of limiting interpolation to Fourier series theory

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.
Author(s)
Doktorski, Leo R.Ya.
Mainwork
The Diversity and Beauty of Applied Operator Theory  
DOI
10.1007/978-3-319-75996-8_10
Language
English
Fraunhofer-Institut für Optronik, Systemtechnik und Bildauswertung IOSB  
Keyword(s)
  • orthonormal bounded system

  • fourier coefficient

  • real interpolation method

  • limiting reiteration theorems

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