scholarly journals Fast Fourier analysis for abelian group extensions

1990 ◽  
Vol 11 (2) ◽  
pp. 164-204 ◽  
Author(s):  
Daniel Rockmore
Keyword(s):  
Abelian Group ◽  
Fourier Analysis ◽  
Group Extensions ◽  
Fast Fourier Analysis

Additive bases via Fourier analysis

2021 ◽  
pp. 1-12
Author(s):  
Bodan Arsovski
Keyword(s):  
Abelian Group ◽  
Fourier Analysis ◽  
Vector Space ◽  
Abelian Groups ◽  
Finite Abelian Group ◽  
Probabilistic Method ◽  
Additive Basis ◽  
Generating Sets

Abstract Extending a result by Alon, Linial, and Meshulam to abelian groups, we prove that if G is a finite abelian group of exponent m and S is a sequence of elements of G such that any subsequence of S consisting of at least $$|S| - m\ln |G|$$ elements generates G, then S is an additive basis of G . We also prove that the additive span of any l generating sets of G contains a coset of a subgroup of size at least $$|G{|^{1 - c{ \in ^l}}}$$ for certain c=c(m) and $$ \in = \in (m) < 1$$ ; we use the probabilistic method to give sharper values of c(m) and $$ \in (m)$$ in the case when G is a vector space; and we give new proofs of related known results.

scholarly journals A note on central group extensions

1973 ◽  
Vol 15 (4) ◽  
pp. 428-429 ◽  
Author(s):  
G. J. Hauptfleisch
Keyword(s):  
Abelian Group ◽  
Homomorphic Image ◽  
Free Group ◽  
Central Extension ◽  
Dihedral Group ◽  
Group Extension ◽  
Central Group ◽  
Group Extensions

If A, B, H, K are abelian group and φ: A → H and ψ: B → K are epimorphisms, then a given central group extension G of H by K is not necessarily a homomorphic image of a group extension of A by B. Take for instance A = Z(2), B = Z ⊕ Z, H = Z(2), K = V4 (Klein's fourgroup). Then the dihedral group D8 is a central extension of H by K but it is not a homomorphic image of Z ⊕ Z ⊕ Z(2), the only group extension of A by the free group B.

Leakage error in Fast Fourier analysis

1980 ◽  
Vol 71 (4) ◽  
pp. 531-544 ◽  
Author(s):  
J.K. Thompson ◽  
D.R. Tree
Keyword(s):  
Fourier Analysis ◽  
Leakage Error ◽  
Fast Fourier Analysis

scholarly journals Validation of fast fourier analysis for records of intestinal motility

1978 ◽  
Vol 74 (5) ◽  
pp. 1151
Author(s):  
R.A. Adelman ◽  
G.D. Carbon ◽  
A.M. Connell
Keyword(s):  
Fourier Analysis ◽  
Intestinal Motility ◽  
Fast Fourier Analysis

scholarly journals A note on Abelian group extensions

1962 ◽  
Vol 12 (4) ◽  
pp. 1401-1403 ◽  
Author(s):  
Ronald Nunke
Keyword(s):  
Abelian Group ◽  
Group Extensions

New adsorptive square wave method for trace determination of prilocain in the flow injection system by a fast fourier analysis

2010 ◽  
Vol 46 (9) ◽  
pp. 999-1006 ◽  
Author(s):  
Parviz Norouzi ◽  
Mohammad Reza Ganjali ◽  
Rassoul Dinarvand ◽  
Mohammad Hasan Eshraghi ◽  
Hassan Ali Zamani
Keyword(s):  
Fourier Analysis ◽  
Flow Injection ◽  
Injection System ◽  
Trace Determination ◽  
Wave Method ◽  
Square Wave ◽  
Flow Injection System ◽  
Fast Fourier Analysis

Dynamic Vibrational Analysis on Areca Sheath fibre reinforced bio composites by Fast Fourier Analysis

2018 ◽  
Vol 5 (9) ◽  
pp. 19330-19339
Author(s):  
M.R Chethan ◽  
Parvatini Sri Naga Venkat ◽  
G.S. Gopala Krishna ◽  
R Chennakesava ◽  
P. Vijay
Keyword(s):  
Fourier Analysis ◽  
Vibrational Analysis ◽  
Fast Fourier Analysis

Representations of holomorphs of group extensions with Abelian kernels

1975 ◽  
Vol 78 (3) ◽  
pp. 357-368 ◽  
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Abelian Group ◽  
Automorphism Group ◽  
Finite Rank ◽  
Automorphism Groups ◽  
Abelian Groups ◽  
Finitely Generated ◽  
Metabelian Groups ◽  
Soluble Groups ◽  
Group Extensions

This paper is devoted to the construction of faithful representations of the automorphism group and the holomorph of an extension of an abelian group by some other group, the representations here being homomorphisms into certain restricted parts of the automorphism groups of smallish abelian groups. We apply these to two very specific cases, namely to finitely generated metabelian groups and to certain soluble groups of finite rank. We describe the applications first.

scholarly journals Phase demodulation of interferometric fiber sensor based on fast Fourier analysis

2017 ◽  
Vol 25 (18) ◽  
pp. 21094 ◽  
Author(s):  
Xin Fu ◽  
Ping Lu ◽  
Wenjun Ni ◽  
Hao Liao ◽  
Deming Liu ◽  
...  
Keyword(s):  
Fourier Analysis ◽  
Fiber Sensor ◽  
Fast Fourier Analysis ◽  
Phase Demodulation
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