نتایج جستجو برای: locally compact group‎, ‎affine pseudoframe‎

تعداد نتایج: 1150508  

Journal: :wavelets and linear algebra 0
hamide azarmi ph. d. student in ferdowsi university of mashhad radjabali kamyabi gol department of pure mathematics; ferdowsi university of mashhad; mohammad janfada department of pure mathematics;ferdowsi university of mashhad;

‎let $g$ be a locally compact abelian group‎. ‎the concept of a generalized multiresolution structure (gms) in $l^2(g)$ is discussed which is a generalization of gms in $l^2(mathbb{r})$‎. ‎basically a gms in $l^2(g)$ consists of an increasing sequence of closed subspaces of $l^2(g)$ and a pseudoframe of translation type at each level‎. ‎also‎, ‎the construction of affine frames for $l^2(g)$ bas...

‎Let $G$ be a locally compact abelian group‎. ‎The concept of a generalized multiresolution structure (GMS) in $L^2(G)$ is discussed which is a generalization of GMS in $L^2(mathbb{R})$‎. ‎Basically a GMS in $L^2(G)$ consists of an increasing sequence of closed subspaces of $L^2(G)$ and a pseudoframe of translation type at each level‎. ‎Also‎, ‎the construction of affine frames for $L^2(G)$ bas...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه صنعتی اصفهان 1390

we commence by using from a new norm on l1(g) the -algebra of all integrable functions on locally compact group g, to make the c-algebra c(g). consequently, we find its dual b(g), which is a banach algebra so-called fourier-stieltjes algebra, in the set of all continuous functions on g. we consider most of important basic theorems about this algebra. this consideration leads to a rather com...

Journal: :international journal of group theory 2014
hossein sahleh akbar alijani

let $pounds$ be the category of all locally compact abelian (lca) groups‎. ‎in this paper‎, ‎the groups $g$ in $pounds$ are determined such that every extension $0to xto yto gto 0$ with divisible‎, ‎$sigma-$compact $x$ in $pounds$ splits‎. ‎we also determine the discrete or compactly generated lca groups $h$ such that every pure extension $0to hto yto xto 0$ splits for each divisible group $x$ ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه علوم پایه دامغان 1387

برای گروه آبلی توپولوژیک g، مجموعة تمام همومورفیسم های پیوسته از g بتوی گروه دایره ای t همراه با توپولوژی فشرده- باز و عمل ضرب نقطه ای توابع که یک گروه آبلی توپولوژیک هاسدورف است بعنوان دوگان pontryagin این گروه شناخته می شود. فضای دوگان یک گروه آبلی توپولوژیک از لحاظ جبری ایزومورف با فضای دوگان هر زیرگروه چگال خود می باشد.“l. außenhofer” و “ m. j. chesco” مستقل از هم نشان دادند که فضای دوگان ی...

Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...

Journal: :bulletin of the iranian mathematical society 2011
h. r. ebrahimi vishki m. ramezanpour

Journal: :Bulletin of the American Mathematical Society 1971

R. Raisi Tousi, R.A. Kamyabi Gol,

We investigate shift invariant subspaces of $L^2(G)$, where $G$ is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group $G$ we prove a useful Hilbert space isomorphism, introduce range funct...

Journal: :bulletin of the iranian mathematical society 2011
r. a. kamyabi gol r. raisi tousi

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