An analogue of Beurling's theorem for the Laguerre hypergroup

Littlewood-Paley g-Functions and Multipliers for the Laguerre Hypergroup

Multiresolution Analysis and Haar Wavelets on the Laguerre Hypergroup

In the past decade research on the multiresolution analysis has made considerable progress due to its wide applications. For the basic theory of multiresolution we refer readers to the work in 1, 2 . Recently, we find that a lot of authors try to extend the theory of wavelets on the Euclidean space to nilpotent Lie groups see 3–6 . In this paper we will give the definition of acceptable dilatio...

An Analogue of Cobham’s Theorem for Fractals

— We introduce the notion of k-self-similarity for compact subsets of R and show that it is a natural analogue of the notion of k-automatic subsets of integers. We show that various wellknown fractals such as the triadic Cantor set, the Sierpiński carpet or the Menger sponge, turn out to be k-self-similar for some integers k. We then prove an analogue of Cobham’s theorem for compact sets of R t...

nano-rods zno as an efficient catalyst for the synthesis of chromene phosphonates, direct amidation and formylation of amines

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An analogue of the Baire category theorem

Every definably complete expansion of an ordered field satisfies an analogue of the Baire Category Theorem.