Results 11 to 20 of about 33,268 (232)
AIMS Mathematics, 2020 For two continual bases in the representation space, we obtain the matrix elements of the linear operator transforming the first basis into the second. These elements are expressed in terms of Coulomb wave functions.
I. A. Shilin, Junesang Choi, Jae Won Lee
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Test vectors for Rankin-Selberg $L$-functions [PDF]
, 2019 We study the local zeta integrals attached to a pair of generic representations $(\pi,\tau)$ of $GL_n\times GL_m$, $n>m$, over a $p$-adic field. Through a process of unipotent averaging we produce a pair of corresponding Whittaker functions whose zeta ...
Booker, Andrew R. +2 more
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Baxter operator and Archimedean Hecke algebra [PDF]
, 2007 In this paper we introduce Baxter integral Q-operators for finite-dimensional Lie algebras gl(n+1) and so(2n+1). Whittaker functions corresponding to these algebras are eigenfunctions of the Q-operators with the eigenvalues expressed in terms of Gamma ...
Gerasimov, A., Lebedev, D., Oblezin, S.
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Liouville Type Models in Group Theory Framework. I. Finite-Dimensional Algebras [PDF]
, 1996 In the series of papers we represent the ``Whittaker'' wave functional of $d+1$-dimensional Liouville model as a correlator in $d+0$-dimensional theory of the sine-Gordon type (for $d=0$ and $1$). Asypmtotics of this wave function is characterized by the
Gerasimov, A. +5 more
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Geometric RSK correspondence, Whittaker functions and symmetrized random polymers [PDF]
, 2013 We show that the geometric lifting of the RSK correspondence introduced by A.N. Kirillov (2001) is volume preserving with respect to a natural product measure on its domain, and that the integrand in Givental's integral formula for GL(n,R)-Whittaker ...
O'Connell, Neil +2 more
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Baxter operator formalism for Macdonald polynomials [PDF]
, 2013 We develop basic constructions of the Baxter operator formalism for the Macdonald polynomials associated with root systems of type A. Precisely we construct a dual pair of mutually commuting Baxter operators such that the Macdonald polynomials are their ...
Anton Gerasimov +7 more
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On integral equations involving Whittaker's function [PDF]
Proceedings of the Glasgow Mathematical Association, 1966 Recently some inversion integrals for integral equations involving Legendre, Chebyshev, Gegenbauer and Laguerre polynomials in the kernel have been obtained [1, 2, 3, 5, 6]. In this note, two inversion integrals for integral equations involving Whittaker's function in the kernel are obtained. We shall make use of the following known integral [4, p. 402]
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The wave-function description of the electromagnetic field [PDF]
, 2013 For an arbitrary electromagnetic field, we define a prepotential $S$, which is a complex-valued function of spacetime. The prepotential is a modification of the two scalar potential functions introduced by E. T. Whittaker.
Friedman, Yaakov
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Remark on some integrals involving products of Whittaker functions [PDF]
Proceedings of the American Mathematical Society, 1972 It is observed that the literature contains erroneous formulas for infinite integrals involving the product of two Whit- taker functions. For instance, the main result, involving Meijer's G-function, of K. L. Arora and S. K. Kulshreshtha's paper in these Proceedings and all its particular cases may be cited.
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Point-to-line polymers and orthogonal Whittaker functions [PDF]
, 2019 We study a one-dimensional directed polymer model in an inverse-gamma random environment, known as the log-gamma polymer, in three different geometries: point-to-line, point-to-half-line and when the polymer is restricted to a half-space with end point ...
Bisi, Elia, Zygouras, Nikos
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