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Homogeneous cones and abelian theorems [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties.
Tatjana Ostrogorski
doaj   +2 more sources

Abelian theorems for Whittaker transforms [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
Initial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in ...
Richard D. Carmichael, R. S. Pathak
doaj   +2 more sources

Abelian theorems for transformable Boehmians [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
A class of generalized functions called transformable Boehmians contains a proper subspace that can be identified with the class of Laplace transformable distributions. In this note, we establish some Abelian theorems for transformable Boehmians.
Dennis Nemzer
doaj   +3 more sources

Kneser’s theorem in -finite abelian groups [PDF]

open access: yesCanadian Mathematical Bulletin, 2022
AbstractLet G be a $\sigma $ -finite abelian group, i.e., $G=\bigcup _{n\geq 1} G_n$ where $(G_n)_{n\geq 1}$ is a nondecreasing sequence of finite subgroups. For any $A\subset G$ , let $\underline {\mathrm {d}}( A ):=\liminf _{n\to \infty }\frac {|A\cap G_n|}{|G_n|}$ be its lower asymptotic density.
Bienvenu, Pierre-Yves   +1 more
openaire   +2 more sources

Abelian Theorems for Hardy Transformations [PDF]

open access: yesCanadian Mathematical Bulletin, 1977
AbstractInitial and final value theorems for Hardy transformations and of a suitably chosen function f(x) under a certain set of conditions on v and p where1Jv(x) and Yv(x) being Bessel functions of the first and second kind, and2su, v(x) being Lommel's function, are proved.
Pathak, R. S., Pandey, J. N.
openaire   +2 more sources

Bipolar Complex Fuzzy Subgroups

open access: yesMathematics, 2022
In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point.
Xiaopeng Yang   +2 more
doaj   +1 more source

Some Graph Parameters of Clique graph of Cyclic Subgroup graph on certain Non-Abelian Groups

open access: yesRatio Mathematica, 2022
The aim of this paper is to examine various graph parameters of clique graph of cyclic subgroup graph on certain non-abelian groups and also we obtain some theorems and results in ...
S Ragha, R Rajeswari
doaj   +1 more source

$a\times b=c$ in $2+1$D TQFT [PDF]

open access: yesQuantum, 2021
We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$.
Matthew Buican   +2 more
doaj   +1 more source

Corrigendum: Abelian n-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces

open access: yesForum of Mathematics, Sigma, 2020
There is an error in the statement and proof of [VAV17, Proposition 5.1] that affects the statements of [VAV17, Corollaries 5.2 and 5.3]. In this note, we correct the statement of [VAV17, Proposition 5.1] and explain how to rectify subsequent statements.
Anthony Várilly-Alvarado, Bianca Viray
doaj   +1 more source

Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability

open access: yesUniversal Journal of Mathematics and Applications, 2021
For a non-decreasing sequence of positive integers tending to infinity $\lambda=(\lambda_m)$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$; $(V,\lambda)$-summability has been defined as the limit of the generalized de la Val\'{e}e-Pousin of a
Merve Temizer Ersoy
doaj   +1 more source

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