sigma08-092. 247KB Jun 04 2011 12:10:21 AM
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In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
For example, modular invariance for vertex operator superalgebras requires inclusion of supercharacters of (untwisted) modules, and more importantly, the characters of σ
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
Noor, Some classes of p-valent analytic functions defined by certain integral operator, Appl.. Noor, On certain classes of analytic functions defined by Noor integral operator
They are closely related to symmetric and antisymmetric orbit functions which are received from exponential functions by symmetrization and antisymmetrization procedure by means of
We study the finite and infinite irreducible representations of the quantum quadratic algebras though the construction of models in which the symmetries act on spaces of functions of
Key words: invariant evolutions of curves; Hermitian symmetric spaces; Poisson brackets; differential invariants; projective differential invariants; equations of KdV type;
The differential operator defined in this article plays a key rˆole in conformal differential geometry in dimension 4 and is now known as the Paneitz operator.. Key words:
