Apéritif (Wiener’s Theorem)

1974 ◽  
pp. 1-10
Author(s):  
Sterling K. Berberian
Keyword(s):  
Wiener’S Theorem

An analog of Wiener’s theorem for infinite-dimensional Banach spaces

2015 ◽  
Vol 97 (1-2) ◽  
pp. 179-189
Author(s):  
A. V. Zagorodnyuk ◽  
M. A. Mitrofanov
Keyword(s):  
Banach Spaces ◽  
Infinite Dimensional ◽  
Wiener’S Theorem

scholarly journals Local Wiener’s theorem and coherent sets of frequencies

2020 ◽  
Vol 46 (4) ◽  
pp. 737-746
Author(s):  
S. Yu. Favorov
Keyword(s):  
Wiener’S Theorem

On the One-Sided Wiener's Theorem for the Motion Group

1980 ◽  
Vol 111 (3) ◽  
pp. 415 ◽  
Author(s):  
Yitzhak Weit
Keyword(s):  
Motion Group ◽  
Wiener’S Theorem ◽  
The One

17.—Absolutely Convergent Sturm-Liouville Expansions

1975 ◽  
Vol 73 ◽  
pp. 255-269
Author(s):  
S. D. Wray
Keyword(s):  
Fourier Series ◽  
Banach Algebra ◽  
Full Range ◽  
Second Order ◽  
Algebra Structure ◽  
Convergent Fourier Series ◽  
Wiener’S Theorem ◽  
Asymptotic Formulae ◽  
Sturm Liouville

SynopsisAn analogue of full-range Fourier series is introduced in the Sturm-Liouville setting and a theorem generalising Wiener's theorem for functions with absolutely convergent Fourier series is proved. The Banach algebra structure of the theory is examined. Use is made of second-order asymptotic formulae for the Sturm-Liouville eigenfunctions.

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