نتایج جستجو برای: generalized dunkl translation

تعداد نتایج: 295440  

Journal: :European Journal of Combinatorics 2007

Journal: :Časopis pro pěstování matematiky 1960

2004
R. Zhdanov

We construct several new families of exactly and quasi-exactly solvable BCN -type Calogero– Sutherland models with internal degrees of freedom. Our approach is based on the introduction of a new family of Dunkl operators of BN type which, together with the original BN -type Dunkl operators, are shown to preserve certain polynomial subspaces of finite dimension. We prove that a wide class of qua...

2007
Dan Melamed Wei Wang

Designers of statistical machine translation (SMT) systems have begun to employ treestructured translation models. Systems involving tree-structured translation models tend to be complex. This article aims to reduce the conceptual complexity of such systems, in order to make them easier to design, implement, debug, use, study, understand, explain, modify, and improve. In service of this goal, t...

1997
Saburo Kakei

We investigate algebraic structure for the BN -type Calogero model by using the exchange-operator formalism. We show that the set of the Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal basis.

1997
Saburo Kakei

We investigate algebraic structure for the BN -type Calogero model by using the exchange-operator formalism. We show that the set of the Jack polynomials whose arguments are Dunkl-type operators provides an orthogonal basis.

2004
SUNDARAM THANGAVELU YUAN XU

Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The L boundedness of these operators is established in certain cases.

Journal: :Michigan Mathematical Journal 2008

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