Explizite Rekursionsformeln zur schnellen Fouriertransformation
Séminaire lotharingien de combinatoire, Tome 18 (1987)
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The Fast Fourier Transform plays an important role in many areas of applied mathematics. An essential idea is the reduction of the Fourier transform of a group to the one of subgroups or factor groups. In this lecture, I provide explicit and easily programmable rrecursion formulas in the general case of a finite commutative group. The generalization to non-commutative groups (as for example in a paper by Beth) is possible but still needs to be carried out in detail.
The paper has been finally published under the title "Some combinatorial properties of the Thue-Morse sequence and a problem in semigroups" in Theoret. Comput. Sci. 63 (1989), 333-348.
@article{SLC_1987_18_a17,
author = {Ulrich Oberst},
title = {Explizite {Rekursionsformeln} zur schnellen {Fouriertransformation}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {18},
year = {1987},
url = {http://geodesic.mathdoc.fr/item/SLC_1987_18_a17/}
}
Ulrich Oberst. Explizite Rekursionsformeln zur schnellen Fouriertransformation. Séminaire lotharingien de combinatoire, Tome 18 (1987). http://geodesic.mathdoc.fr/item/SLC_1987_18_a17/