Results 11 to 20 of about 84,466 (284)
On parabolic Whittaker functions [PDF]
Letters in Mathematical Physics, 2010 We derive a Mellin-Barnes integral representation for solution to generalized (parabolic) quantum Toda lattice introduced in \cite{GLO}, which presumably describes the $(S^1\times U_N)$-equivariant Gromov-Witten invariants of Grassmann variety.Comment ...
A. Astashkevich +5 more
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On $b$-Whittaker functions [PDF]
, 2018 The $b$-Whittaker functions are eigenfunctions of the modular $q$-deformed $\mathfrak{gl}_n$ open Toda system introduced by Kharchev, Lebedev, and Semenov-Tian-Shansky.
Schrader, Gus, Shapiro, Alexander
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Whittaker limits of difference spherical functions [PDF]
International Mathematics Research Notices, 2009 We introduce the (global) q-Whittaker function as the limit at t=0 of the q,t-spherical function extending the symmetric Macdonald polynomials to arbitrary eigenvalues. The construction heavily depends on the technique of the q-Gaussians developed by the
Cherednik, Ivan
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On Iwahori-Whittaker Functions for Metaplectic Groups
Advances in Mathematics, 2017 We relate Iwahori-Whittaker functions on metaplectic covers to certain Demazure-Lusztig operators, the latter of which are built from a Weyl group action previously considered by G. Chinta and P. Gunnells.
Braverman +25 more
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Whittaker's Cardinal Function in Retrospect [PDF]
Mathematics of Computation, 1971 This paper exposes properties of the Whittaker cardinal function and illustrates the use of this function as a mathematical tool. The cardinal function is derived using the Paley-Wiener theorem. The cardinal function and the central-difference expansions are linked through their similarities.
McNamee, J., Stenger, F., Whitney, E. L.
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WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori ...
Lee, Kyu-Hwan +2 more
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Tropical combinatorics and Whittaker functions [PDF]
Duke Mathematical Journal, 2014 We establish a fundamental connection between the geometric RSK correspondence and GL(N,R)-Whittaker functions, analogous to the well known relationship between the RSK correspondence and Schur functions. This gives rise to a natural family of measures associated with GL(N,R)-Whittaker functions which are the analogues in this setting of the Schur ...
Corwin, Ivan +3 more
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Demazure crystals and the energy function [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov–Reshetikhin crystals via a canonically ...
Anne Schilling, Peter Tingley
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Nonsymmetric difference Whittaker functions [PDF]
Mathematische Zeitschrift, 2014 Starting with nonsymmetric global difference spherical functions, we define and calculate spinor (nonsymmetric) global q-Whittaker functions for arbitrary reduced root systems, which are reproducing kernels of the DAHA-Fourier transforms of Nil-DAHA and solutions of the q-Toda-Dunkl eigenvalue problem.
Cherednik, Ivan, Orr, Daniel
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WHITTAKER FUNCTIONS FROM MOTIVIC CHERN CLASSES
Transformation Groups, 2022 17 ...
Mihalcea, Leonardo C. +2 more
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