Results 71 to 80 of about 12,672,108 (295)

Inversion Formula for the Wavelet Transform on Abelian Group

International Journal of Analysis and Applications, 2022
In this paper a reconstruction and inversion formula of the continuous wavelet transform on abelian group for band-limited function is defined. This formula possesses a more explicit expression than the well-known result.
C.P. Pandey, Khetjing Moungkang, Sunil Kumar Singh, M.M. Dixit, Mopi Ado   +4 more
doaj   +1 more source

Connections on non-abelian Gerbes and their Holonomy [PDF]

, 2013
We introduce an axiomatic framework for the parallel transport of connections on gerbes. It incorporates parallel transport along curves and along surfaces, and is formulated in terms of gluing axioms and smoothness conditions.
Schreiber, Urs, Waldorf, Konrad
core   +1 more source

Growth problems in diagram categories

Bulletin of the London Mathematical Society, EarlyView.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

The Classification of Lattices of Determinant 4 and Rank 5

Axioms
In this paper, we give the classification of the positive definite lattices with determinant 4 and rank 5.
Libo Zhao, Yangming Li, Lü Gong, Lili Li   +3 more
doaj   +1 more source

Coloring abelian groups

Discrete Mathematics, 1982
AbstractA sufficient (and necessary, if n=2) condition for the existence of a particular kind of n-coloring of an abelian group is given, and applied to show that (a) the real line is colorable with two colors so that the distance 1 is forbidden for one color, and the distance s>0 for the other, or so that both 1 and s are forbidden for both colors, if
openaire   +3 more sources

Distance Powers and Distance Matrices of Integral Cayley Graphs over Abelian Groups [PDF]

, 2012
It is shown that distance powers of an integral Cayley graph over an abelian group are again integral Cayley graphs over that group. Moreover, it is proved that distance matrices of integral Cayley graphs over abelian groups have integral ...
Klotz, W., Sander, T.
core  

Units in group rings and blocks of Klein four or dihedral defect

Bulletin of the London Mathematical Society, EarlyView.
Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley   +1 more source

On the Positive Definite Lattice with Determinant 5

Axioms
This paper is devoted to providing a classification of positive definite lattices with determinant 5 and a rank less than or equal to 6.
Libo Zhao, Yangming Li, Lü Gong, Huilong Gu   +3 more
doaj   +1 more source

Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups

Axioms, 2019
Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that ...
Veronika Pitrová
doaj   +1 more source

On the Finite Groups that all Their Semi-Cayley Graphs are Quasi-Abelian [PDF]

Mathematics Interdisciplinary Research, 2018
In this paper, we prove that every semi-Cayley graph over a group G is quasi-abelian if and only if G is abelian.
Majid Arezoomand
doaj   +1 more source