L 1-harmonic analysis on semi-direct products of Abelian groups

1982 ◽  
Vol 93 (4) ◽  
pp. 309-328 ◽  
Author(s):  
Tadeusz Pytlik
Keyword(s):  
Harmonic Analysis ◽  
Abelian Groups ◽  
Direct Products

scholarly journals Harmonic analysis on discrete Abelian groups

2004 ◽  
Vol 133 (6) ◽  
pp. 1581-1586 ◽  
Author(s):  
M. Laczkovich ◽  
G. Székelyhidi
Keyword(s):  
Harmonic Analysis ◽  
Abelian Groups

COMMUTING PROPERTIES OF EXT

2013 ◽  
Vol 94 (2) ◽  
pp. 276-288 ◽  
Author(s):  
PHILL SCHULTZ
Keyword(s):  
Abelian Groups ◽  
Direct Products ◽  
Direct Sums

AbstractWe characterize the abelian groups $G$ for which the functors $\mathrm{Ext} (G, - )$ or $\mathrm{Ext} (- , G)$ commute with or invert certain direct sums or direct products.

Theories of modules closed under direct products

1992 ◽  
Vol 57 (2) ◽  
pp. 515-521
Author(s):  
Roger Villemaire
Keyword(s):  
Direct Product ◽  
Abelian Groups ◽  
Complete Theory ◽  
Direct Products ◽  
Horn Theory

AbstractWe generalize to theories of modules (complete or not) a result of U. Felgner stating that a complete theory of abelian groups is a Horn theory if and only if it is closed under products. To prove this we show that a reduced product of modules ΠFMi (i ϵ I) is elementarily equivalent to a direct product of ultraproducts of the modules Mi(i ϵ I).

scholarly journals Subalgebras, direct products and associated lattices of MV-algebras

1992 ◽  
Vol 34 (3) ◽  
pp. 301-307 ◽  
Author(s):  
L. P. Belluce ◽  
A. Di Nola ◽  
A. Lettieri
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Propositional Logic ◽  
Abelian Groups ◽  
Completeness Theorem ◽  
Direct Products ◽  
Algebraic Proof ◽  
Mv Algebras

MV-algebras were introduced by C. C. Chang [3] in 1958 in order to provide an algebraic proof for the completeness theorem of the Lukasiewicz infinite valued propositional logic. In recent years the scope of applications of MV-algebras has been extended to lattice-ordered abelian groups, AF C*-algebras [10] and fuzzy set theory [1].

scholarly journals Second degree polynomials and the fundamental theorems of harmonic analysis

1982 ◽  
Vol 5 (3) ◽  
pp. 441-457
Author(s):  
Kelly McKennon
Keyword(s):  
Harmonic Analysis ◽  
Uniqueness Theorem ◽  
Abelian Groups ◽  
Degree Polynomial ◽  
Fourier Inversion ◽  
Inversion Theorem ◽  
Fundamental Theorems ◽  
The Uniqueness Theorem ◽  
Second Degree

The concept of a second degree polynomial with nonzero subdegree is investigated for Abelian groups, and it is shown how such polynomials can be exploited to produce elementary proofs for the Uniqueness Theorem and the Fourier Inversion Theorem in abstract harmonic analysis.

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