نتایج جستجو برای: the plancherel theorem
تعداد نتایج: 16070228 فیلتر نتایج به سال:
chapter one is devotod to collect some notion and background informations, which are needed in the next chapters. it also contains some important statements which will be proved in a more general context later in this thesis. in chapter two, we show that if the marginal factor-group is of order np1...pk,n>1, then we obtain a bound for the order of the verbal subgroup. also a bound for the bear-...
X iv :m at h/ 03 05 42 3v 3 [ m at h. R T ] 1 1 N ov 2 00 3 Stein’s Method and Plancherel Measure of the Symmetric Group Running head: Stein’s Method and Plancherel Measure By Jason Fulman University of Pittsburgh Department of Mathematics 301 Thackeray Hall Pittsburgh, PA 15260 Email: [email protected] Abstract: We initiate a Stein’s method approach to the study of the Plancherel measure of...
in the first chapter we study the necessary background of structure of commutators of operators and show what the commutator of two operators on a separable hilbert space looks like. in the second chapter we study basic property of jb and jb-algebras, jc and jc-algebras. the purpose of this chapter is to describe derivations of reversible jc-algebras in term of derivations of b (h) which are we...
We consider the Plancherel measure on irreducible components of tensor powers spinor representation so(2n+1). The representations correspond to generalized Young diagrams. With respect this probability an is product its multiplicity and dimension, divided by total dimension product. study limit shape diagram when power N rank n algebra tend infinity with N/n fixed. derive explicit formula for p...
The Young-Fibonacci graph YF is an important example (along with the Young lattice) of diierential posets studied by S. Fomin and R. Stanley. For every diierential poset there is a distinguished central measure called the Plancherel measure. We study the Plancherel measure and the associated Markov chain, the Plancherel process, on the Young-Fibonacci graph. We establish a law of large numbers ...
1.1. Plancherel measures. Given a finite group G, by the corresponding Plancherel measure we mean the probability measure on the set G∧ of irreducible representations of G which assigns to a representation π ∈ G∧ the weight (dim π)/|G|. For the symmetric group S(n), the set S(n)∧ is the set of partitions λ of the number n, which we shall identify with Young diagrams with n squares throughout th...
A recent addition to the class of integral transforms is quaternion quadratic-phase Fourier transform (Q-QPFT), which generalizes various signal and image processing tools. However, this insufficient for addressing spectrum non-stationary signals in domain. To address problem, we, paper, study (two sided) windowed (QWQPFT) investigate uncertainty principles associated with QWQPFT. We first prop...
In this paper, we consider a q-analogue of the Dunkl operator on R, we define and study its associated Fourier transform which is a q-analogue of the Dunkl transform. In addition to several properties, we establish an inversion formula and prove a Plancherel theorem for this q-Dunkl transform. Next, we study the q-Dunkl intertwining operator and its dual via the q-analogues of the Riemann-Liouv...
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