sigma07-037. 288KB Jun 04 2011 12:10:01 AM
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Since all matrix elements of local fields are known in many integrable models, it would seem appropriate to write the trace as an explicit sum over all states of the Hilbert space,
This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials.. It is the symmetry group of the regular 2
(Let us recall that the quasi-regular representation of SO 0 (1 , 4) on the Hilbert space L 2 ( H + 4 ) decomposes into a direct integral of irreducible unitary representations of
Both algebras are presented by generators and relations, the first has a representation by q -difference operators on the space of symmetric Laurent polynomials in z and the second
We give explicit formulas for conformally invariant operators with leading term an m -th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product
In our paper we analyze unusual degeneracy properties of energy levels of q,p -oscillators (for real q , p ) and obtain, on their base, certain q -deformed or p -deformed
Here we shall use this Cayley transformation to obtain some sharp L 2 inequalities on the sphere for a family of Dirac type operators.. The full collection is available
We have also shown that the perturbation of the Poisson structure contributes to the energy- momentum as an additional effective source of the gravitational field. Although the
