Fourier Analysis on Finite Groups

2011 ◽  
pp. 51-70
Author(s):  
Benjamin Steinberg
Keyword(s):  
Fourier Analysis ◽  
Finite Groups

scholarly journals Fourier Analysis on Finite Groups and the Lovász ϑ-Number of Cayley Graphs

2014 ◽  
Vol 23 (2) ◽  
pp. 146-152 ◽  
Author(s):  
Evan DeCorte ◽  
David de Laat ◽  
Frank Vallentin
Keyword(s):  
Fourier Analysis ◽  
Finite Groups ◽  
Cayley Graphs

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

2005 ◽  
Author(s):  
Radomir S. Stanković ◽  
Claudio Moraga ◽  
Jaakko T. Astola
Keyword(s):  
Signal Processing ◽  
Fourier Analysis ◽  
System Design ◽  
Finite Groups

Fourier analysis of subgroup conjugacy invariant functions on finite groups

2012 ◽  
Vol 170 (3-4) ◽  
pp. 465-479 ◽  
Author(s):  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Fourier Analysis ◽  
Finite Groups ◽  
Invariant Functions

scholarly journals Approximation by representative functions on the complete product of S3

2008 ◽  
Vol 21 (3) ◽  
pp. 327-337 ◽  
Author(s):  
Rodolfo Toledo
Keyword(s):  
Fourier Analysis ◽  
Symmetric Group ◽  
Finite Groups ◽  
Concrete Case ◽  
Complete Product

This work summarizes some statements with respect to Fourier analysis on the complete product of not necessarily commutative finite groups, achieved recently. In particular we devotes attention to a concrete case: the complete product of the symmetric group on 3 elements. The aim of this work is to emphasize the differences between this noncommutative structure and the commutative cases. .

The LDE-Type Flare Occurrence (1969-1993)

1994 ◽  
Vol 144 ◽  
pp. 279-282
Author(s):  
A. Antalová
Keyword(s):  
Time Series ◽  
Fourier Analysis ◽  
Sunspot Cycle ◽  
List Type ◽  
Type Number ◽  
Solar Cycles ◽  
Type Iv ◽  
Long Duration ◽  
Cycle Maximum ◽  
Flare Index

AbstractThe occurrence of LDE-type flares in the last three cycles has been investigated. The Fourier analysis spectrum was calculated for the time series of the LDE-type flare occurrence during the 20-th, the 21-st and the rising part of the 22-nd cycle. LDE-type flares (Long Duration Events in SXR) are associated with the interplanetary protons (SEP and STIP as well), energized coronal archs and radio type IV emission. Generally, in all the cycles considered, LDE-type flares mainly originated during a 6-year interval of the respective cycle (2 years before and 4 years after the sunspot cycle maximum). The following significant periodicities were found:• in the 20-th cycle: 1.4, 2.1, 2.9, 4.0, 10.7 and 54.2 of month,• in the 21-st cycle: 1.2, 1.6, 2.8, 4.9, 7.8 and 44.5 of month,• in the 22-nd cycle, till March 1992: 1.4, 1.8, 2.4, 7.2, 8.7, 11.8 and 29.1 of month,• in all interval (1969-1992):a)the longer periodicities: 232.1, 121.1 (the dominant at 10.1 of year), 80.7, 61.9 and 25.6 of month,b)the shorter periodicities: 4.7, 5.0, 6.8, 7.9, 9.1, 15.8 and 20.4 of month.Fourier analysis of the LDE-type flare index (FI) yields significant peaks at 2.3 - 2.9 months and 4.2 - 4.9 months. These short periodicities correspond remarkably in the all three last solar cycles. The larger periodicities are different in respective cycles.

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