Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.

We consider way k tape alternating pushdown automata k apa and way k tape alternating nite automata k afa We say that an alternating automaton accepts a language L with f n bounded maximal respectively minimal leaf size if arbitrary re spectively at least one accepting tree for any w L has no more than f jwj leaves The main results of the article are the following For way k tape alternating cou...

It is shown that strict resolutions of Fn by F–limit groups have length bounded by 3n. As an application we show that the abelian analysis lattice of a limit group L has height bounded by 3 rk(L).

We investigate threshold–based multi–trial decoding of concatenated codes with an inner Maximum–Likelihood decoder and an outer error/erasure l+1 l –extended Bounded Distance decoder, i.e. a decoder which corrects ε errors and τ erasures if l+1 l ε+τ ≤ d−1, where d is the minimum distance of the outer code and l ∈ N\{0}. This is a generalization of Forney’s GMD decoding, which was considered on...