sigma11-020. 304KB Jun 04 2011 12:10:49 AM
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[18] Trim`eche K., The Dunkl intertwining operator on spaces of functions and distributions and integral repre- sentation of its dual,
The spherical Radon–Dunkl transform R κ , associated to weight functions in- variant under a finite reflection group, is introduced, and some elementary properties are obtained in
[4] Branson T., Nonlinear phenomena in the spectral theory of geometric linear differential operators, in Quan- tization, Nonlinear Partial Differential Equations, and Operator
Shoikhet’s holomorphic noncommutative residue of a holomorphic differential operator D on E for the case when E is an arbitrary vector bundle over an arbitrary compact complex
In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and compu- tation of
• the general 3-particle system is constructed, with three couplings and one free function • higher-particle systems exist, tedious to construct; hypergeometric functions appear •
In Section 4 we will address the second-order PHA, the determination of the general systems having third-order differential ladder operators and their connection with Painlev´e
By using this property it is possible to define a Fourier transform on the entire Hilbert space of the harmonic oscillator, which is its own inverse and satisfies the Parseval
