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Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting in a Hilbert space of complex functions ...
Inequality between size and charge in spherical symmetry
(American Physical Society, 2016-02-15)
We prove that, for a charged spherically symmetric body, twice the radius is always strictly greater than the charge of the body. We also prove that this inequality is sharp. Finally, we discuss the physical implications ...
A discrete Fourier transform associated with the affine Hecke algebra
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
We introduce an explicit representation of the double affine Hecke algebra (of type A(1)) at q = 1 that gives rise to a periodic counterpart of a well-known Fourier transform associated with the affine Hecke algebra. (C) ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2012)
Spherical analysis on homogeneous vector bundles of the 3-dimensional euclidean motion group
(Springer Wien, 2018-04)
We consider R3 as a homogeneous manifold for the action of the motion group given by rotations and translations. For an arbitrary τ∈ SO(3) ^ , let Eτ be the homogeneous vector bundle over R3 associated with τ. An interesting ...
Determination of electrokinetic and hydrodynamic parameters of proteins by modeling their electrophoretic mobilities through the electrically charged spherical porous particle
(Wiley VCH Verlag, 2013-03)
This work explores the possibility of using the electrically charged "spherical porous particle" (SPP) to model the electrophoretic mobility of proteins in the low charge regime. In this regard, the electrophoretic mobility ...
General types of spherical mean operators and k-functionals of fractional orders
(AIMSSpringfield, 2015-05)
We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.
Cellular decomposition of quaternionic spherical space forms
(2013-01-01)
We obtain an explicit cellular decomposition of the quaternionic spherical space forms, manifolds of positive constant curvature that are factors of an odd sphere by a free orthogonal action of a generalized quaternionic ...