We present a unified approach to the study of Radon transforms related to the group Sn and its q-analogue GLn(q). In both cases, in a uniform way, we define a sequence of generMized Radon transforms that are intertw...
Project supported by the National Natural Science Foundation of China (Grant No 10574060);the Natural Science Foundation of Liaocheng University of China (Grant No X071049)
The q-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relation...
the Doctoral Program of Higher Education(Grant No.20030027002)
By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and...
National Natural Science Foundation of China under Grant No.10574060;the Natural Science Foundation of Shandong Province of China under Grant No.Y2004A09
In this paper, in terms of the technique of integration within an ordered product (IWOP) of operators and the properties of the inverses of q-deformed annihilation and creation operators, normalizable q-analogue of ...
With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we finally found a general pair of inverse relations,called the Krattenthaler formulas.The present pap...
With the aid of the weight function of an r×r matrix associated with the symmetric group Sr of degree r, we obtain a direct method to determinate the addedfactor of multivariate Gould-Hsu inversion. Furthermore. the ...