Series representations in spaces of vector‐valued functions via Schauder decompositions
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DOI: 10.1002/mana.201900172
Abstract: It is a classical result that every C ‐valued holomorphic function has a local power series representation. This even remains true for holomorphic functions with values in a locally complete locally convex Hausdorff space E… read more here.
Keywords: locally convex; series; valued functions; schauder decompositions ... See more keywords
Whittaker functions for generalized principal series representations of GSp(2,R)
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DOI: 10.1016/j.jfa.2018.09.011
Abstract: Abstract We study Whittaker functions for generalized principal series representations of GSp ( 2 , R ) induced from Siegel parabolic subgroup. We give Mellin–Barnes type integral representations of Whittaker functions belonging to certain K-types.… read more here.
Keywords: generalized principal; principal series; functions generalized; whittaker functions ... See more keywords
Integral and series representations of q-Polynomials and functions: Part III theta, Ramanujan and q-Bessel functions
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DOI: 10.1142/s0219530521500093
Abstract: In this paper, we use an identity connecting a modified q-Bessel function and a 1ϕ1 function to give m-versions of entries in the Lost Notebook of Ramanujan. We also establish an identity which giv... read more here.
Keywords: integral series; functions part; polynomials functions; representations polynomials ... See more keywords