Segal-Bargmann coherent state transforms can be viewed as unitary maps from L2 spaces of functions (or sections of an appropriate line bundle) on a manifoldX to spaces of square integrable holomorphic functions (or sections) onXC. It is natural to consider higher dimensional extensions of X based on Clifford algebras as they could be useful in studying quantum systems with internal, discrete, d...

We consider the approximation properties of quadrilateral finite element spaces of vector fields defined by the Piola transform, extending results previously obtained for scalar approximation. The finite element spaces are constructed starting with a given finite dimensional space of vector fields on a square reference element, which is then transformed to a space of vector fields on each conve...

We study image compression by a separable wavelet basis { ψ(2k1x − i)ψ(2k2y − j), φ(x − i)ψ(2k2y − j), ψ(2k1(x − i)φ(y − j), φ(x − i)φ(y − i) } , where k1, k2 ∈ Z+; i, j ∈ Z; and φ, ψ are elements of a standard biorthogonal wavelet basis in L2(R). Because k1 6= k2, the supports of the basis elements are rectangles, and the corresponding transform is known as the rectangular wavelet transform. W...

the purpose of the present study was to identify any significant relationship between critical thinking ability, l2 vocabulary knowledge, and l2 vocabulary learning strategies of iranian efl learners. to this aim, the productive vocabulary levels test was administered to measure the learner’s l2 vocabulary knowledge and observe homogeneity in terms of vocabulary knowledge. at the second stage, ...

Pyrrolyl squaraines, both dyes and polymers, were first reported in 1965 and since then a fascinating body of work has been produced investigating the chemistry of these interesting molecules. A major aspect of these molecules that makes them so appealing to those researchers who have contributed to this field over the last 50 years is their chemical versatility. In this review, subjects, such ...

Memory hierarchy is used to compete the processors speed. Cache memory is the fast memory which is used to conduit the speed difference of memory and processor. The access patterns of Level 1 cache (L1) and Level 2 cache (L2) are different, when CPU not gets the desired data in L1 then it accesses L2. Thus the replacement algorithm which works efficiently on L1 may not be as efficient on L2. Si...

Let (E ′, μ) be the real Gaussian space, where E ′ is the space of tempered distributions and μ be the standard Gaussian measure on E ′. In the recent papers [4, 7, 8], Asai, Kubo and Kuo (AKK for short) have shown that in order to construct the Gel’fand triple [E ]u ⊂ L2(E ′, μ) ⊂ [E ]u associated with a growth function u ∈ C+,1/2, essential conditions on u are (U0)(U2)(U3) stated in Section 2...

The classical Fourier transform Fcl is an isomorphism of the Schwartz space S(Rk) onto itself. The space C∞ c (Rk) of smooth functions with compact support is dense in S(Rk), and the classical Paley-Wiener theorem characterises the image of C∞ c (R k) under Fcl as rapidly decreasing functions having an holomorphic extension to Ck of exponential type. Since Rk is self-dual, the same theorem also...

The Segal-Bargmann transform plays an important role in quantum theories of linear fields. Recently, Hall obtained a non-linear analog of this transform for quantum mechanics on Lie groups. Given a compact, connected Lie group G with its normalized Haar measure μH , the Hall transform is an isometric isomorphism from L (G,μH ) to H(GC) ∩ L2(GC, ν), where GC the complexification of G, H(GC) the ...