Let H be a cocommutative weak Hopf algebra and let (B,φB) left H-module algebra. In this paper, for twisted convolution invertible morphism σ:H2→B we define its obstruction θσ as Sweedler 3-cocycle with values in the center of B. We obtain that class vanish third cohomology group HφZ(B)3(H,Z(B)) if, only there exists 2-cocycle α:H2→B such H⊗B can endowed crossed product structure α keeping coho...

The study of harmonic functions on a locally compact group G has recently been transferred to a “non-commutative” setting in two different directions: C.-H. Chu and A. T.-M. Lau replaced the algebra L∞(G) by the group von Neumann algebra VN(G) and the convolution action of a probability measure μ on L∞(G) by the canonical action of a positive definite function σ on VN(G); on the other hand, W. ...

Let ? be a C?-subalgebra of \(L^\infty (\mathbb {R})\) and \(SO_{X(\mathbb {R})}^\diamond \) the Banach algebra slowly oscillating Fourier multipliers on function space \(X(\mathbb {R})\). We show that intersection Calkin image generated by operators multiplication aI functions ? convolution W0(b) with symbols in coincides constants.

We prove a combinatorial rule for complete decomposition, in terms of Langlands parameters, representations p-adic GLn that appear as parabolic induction from large family (ladder representations). Our obviates the need computation Kazhdan-Lusztig polynomials these cases, and settles conjecture posed by Lapid. These results are transferrable into various type A frameworks, such decomposition co...

Let G be a locally compact hypergroup and let K sub-hypergroup of G. (G, K) is Gelfand pair if Mc(G//K), the algebra measures with support on double coset G//K, commutative for convolution. In this paper, assuming that pair, we define study Fourier transform then establish Plancherel theorem K).

In this paper, for the first time, a comprehensive experimental study is performed on hydroforming process of metallic bellows. For this purpose, the effects of the main process parameters and their interactions on the characteristics of hydroformed metallic bellows are investigated using Response Surface Methodology (RSM). The selected parameters as input variables are internal pressure, die s...

and similarly for the right topological centre Z(r)(A′′). The algebra A is said to be Arens regular if Z(`)(A′′) = Z(r)(A′′) = A′′ and strongly Arens irregular if Z(`)(A′′) = Z(r)(A′′) = A. For example, every C∗-algebra is Arens regular [2]. There has been a great deal of study of these two algebras, especially in the case where A is the group algebra L(G) for a locally compact group G. Results...

Let μ be a compactly supported probability measure on R with expectation 1 and variance V. Let μn denote the n-time free multiplicative convolution of measure μ with itself. Then, for large n the length of the support of μn is asymptotically equivalent to eV n, where e is the base of natural logarithms, e = 2.71 . . . 1 Preliminaries and the main result First, let us recall the definition of th...

LetA be a finite-dimensional commutative algebra over the complex numbers, with identity element e. Thus A is a finite-dimensional complex vector space equipped with an additional binary operation of multiplication which satisfies the usual rules of associativity, commutativity, and distributivity, and e is a nonzero element of A such that e x = x for all x ∈ A. As a basic class of examples, on...