The finite fourier-transform as a modular substitution

Author(s):  
H. Opolka

Author(s):  
Lars Gårding ◽  
Torbjörn Tambour






1959 ◽  
Vol 1 (1) ◽  
pp. 95-98
Author(s):  
James L. Griffith

1. One of the best known theorems on the finite Fourier transform is:—The integral function F(z) is of the exponential type C and belongs to L2 on the real axis, if and only if, there exists an f(x) belonging to L2 (—C, C) such that ( Additionally, if f(x) vanishes almost everywhere in a neighbourhood of C and also in a neighbourhood of —C, then F(z) is of an exponential type lower than C.





1991 ◽  
Vol 19 (2) ◽  
pp. 427-432
Author(s):  
Opolka Hans


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