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We establish a link between certain Whittaker coecients of the generalized metaplectic theta functions, rst studied by Kazhdan and Patterson [14], and the coecients of the stable Weyl group multi...
Abstract: In this paper, we are concerned with the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The asympt...
Abstract: In the recent paper [J.\ Phys.\ A 44 (2011) 065203], we have arrived at the closed-form expression for the Green's function for the partial differential operator describing propagation of a ...
Abstract: Unique transformation properties under the hyperspherical inversion of a partial differential equation describing a stationary scalar wave in an $N$-dimensional ($N\geqslant2$) Maxwell fish-...
Let F be the function field of an elliptic curveX over Fq. In this paper, we calculate explicit formulas for unramified Hecke operators acting on automorphic forms over F. We determine these formulas ...
We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel’d twist, we compute the partition function of this model with...
We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel’d twist, we compute the partition function of this model with...
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
We obtain the extra delta-like singularity while reduction of the Laplace operator in spherical coordinates, elimination of which restricts the radial wave functions at the origin. This restriction ha...
The mathematical physics literatures as well as quantum mechanics textbooks on spherically symmetric potentials are enormous. Despite of these there is no unique point of view about the boundary behav...
This work deals with function theory on quantum complex hyperbolic spaces. The prin-cipal notions are expounded. We obtain explicit formulas for invariant integrals onfinite’ functions on a quantum...

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