sigma09-031. 253KB Jun 04 2011 12:10:25 AM
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In particular we conclude that the Lorentz covariant nonlinear Dirac equations we have explicitly studied in this paper are not gauge equivalent to the linear Dirac equation.
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
He obtained a sequence of vector fields L p , ( p being positive or negative integer) acting on the set of functions univalent inside the unit disk.. The full collection is available
In particu- lar, we see that these two qualitatively different kinds of formulas for basic hypergeometric functions are closely related: indeed, they are different limits of
A generic elliptic Lagrangian immersion is uniquely determined, up to affine symplectic transformation, by the Fubini cubic
We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.. Key words: continual
The parameter differentiation formulae given in [ 5 ] are derivatives for associated Legendre functions of the first and second kind with respect to the degree, evaluated
Noise sensitivity and stability are introduced and studied in [3] for functions on cubes.. Different cube structures on a binary tree are non-equivalent in