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math.CA2015
On the Invalidity of Fourier Series Expansions of Fractional Order
Peter Massopust, Ahmed I. Zayed
The purpose of this short paper is to show the invalidity of a Fourier series expansion of fractional order as derived by G. Jumarie in a series of papers. In his work the exponent…
math.CA2011
On the Theta semigroup
Ahmed Zayed, Wilfredo Urbina
In this paper we consider a semigroup on trigonometric expansions that will be called the Theta semigroup since its kernel is a multiple of the third Jacobi theta function. We stud…