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Coefficients of the n-fold Theta Function and Weyl Group Multiple Dirichlet Series
Dirichlet Series Theta Function
2015/7/6
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...
Green's function and large time behavior of the Navier-Stokes-Maxwell system
Navier-Stokes-Maxwell system dissipation Green’s function asymptotic stability
2011/9/1
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...
Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem
Maxwell’s fish-eye problem Green’s function scalar wave optics gradient-index (GRIN) optics
2011/8/31
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 ...
Green's function for the wavized Maxwell fish-eye problem
Maxwell抯 fish-eye problem Green抯 function Legendre functions scalar wave optics gradient-index (GRIN) optics
2011/8/29
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 ...
Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
Dynamical reflection algebra Boundary SOS model
2011/1/17
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...
Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
Dynamical reflection algebra Boundary SOS model Factorizing Drinfel’d twist
2010/12/28
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...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2010/12/28
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...
Delta function singularity in the Reduction of Radial Schrodinger Equation
Laplace operator radial equation boundary condition singular potentials
2010/12/8
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...
What is the boundary condition for radial wave function of the Schrödinger equation ?
Schrodinger equation radial equation boundary condition
2010/12/15
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...
Function Theory on a q-Analog of Complex Hyperbolic Space
Function Theory q-Analog of Complex Hyperbolic Space
2010/12/15
This work deals with function theory on quantum complex hyperbolic spaces. The prin-cipal notions are expounded. We obtain explicit formulas for invariant integrals on ‘finite’
functions on a quantum...