Results 31 to 40 of about 10,686,469 (301)
Unified Theory of Zeta-Functions Allied to Epstein Zeta-Functions and Associated with Maass Forms
Mathematics, 2023 In this paper, we shall establish a hierarchy of functional equations (as a G-function hierarchy) by unifying zeta-functions that satisfy the Hecke functional equation and those corresponding to Maass forms in the framework of the ramified functional ...
Nianliang Wang +2 more
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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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From quantum groups to Liouville and dilaton quantum gravity
Journal of High Energy Physics, 2022 We investigate the underlying quantum group symmetry of 2d Liouville and dilaton gravity models, both consolidating known results and extending them to the cases with N $$ \mathcal{N} $$ = 1 supersymmetry.
Yale Fan, Thomas G. Mertens
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Approximations via Whittaker's cardinal function
Journal of Approximation Theory, 1976 AbstractWhittaker's cardinal function is used to derive various types of extremely accurate approximation procedures, along with error bounds, for interpolating, integrating, and evaluating the Fourier (over (−∞, ∞) only) and the Hilbert (over (−∞, ∞), (0, ∞), and (−1, 1) transforms of functions. Formulas over (−∞, ∞) are obtained directly; in practice
F. Stenger
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Mellin Transforms of Whittaker Functions [PDF]
Canadian Mathematical Bulletin, 2002 AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.
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A NOTE ON GENERALIZED EXTENDED WHITTAKER FUNCTION
, 2016 In the present paper, we define the generalized extended Whittaker function in terms of generalized extended confluent hypergeometric function of the first kind. We also study its integral representation, some integral transforms and its derivative.
N. Khan, M. Ghayasuddin
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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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Whittaker rational structures and special values of the Asai $L$-function [PDF]
, 2014 Let $F$ be a totally real number field and $E/F$ a totally imaginary quadratic extension of $F$. Let $\Pi$ be a cohomological, conjugate self-dual cuspidal automorphic representation of $GL_n(\mathbb A_E)$.
H. Grobner, M. Harris, Erez Lapid
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Degenerate Whittaker functions for $\Sp_n(\R)$ [PDF]
International Mathematics Research Notices, 2016 In this paper, we construct Whittaker functions with exponential growth for the degenerate principal series of the symplectic group of genus n induced from the Siegel parabolic subgroup. This is achieved by explicitly constructing a certain Goodman–Wallach operator which yields an intertwining map from the degenerate principal series to the space of
Bruinier, J., Funke, J., Kudla, S.
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On parabolic Whittaker functions II [PDF]
Open Mathematics, 2012 Abstract We propose a Givental-type stationary phase integral representation for the restricted Grm,N-Whittaker function, which is expected to describe the (S 1×U N)-equivariant Gromov-Witten invariants of the Grassmann variety Grm,N.
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