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MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On generalizations of Boehmian space and Hartley transform
C. Ganesan and R. Roopkumar

Abstract

Boehmians are quotients of sequences which are constructed by using a set of axioms. In particular, one of these axioms states that the set S from which the denominator sequences are formed should be a commutative semigroup with respect to a binary operation. In this paper, we introduce a generalization of abstract Boehmian space, called generalized Boehmian space or G-Boehmian space, in which S is not necessarily a commutative semigroup. Next, we provide an example of a G-Boehmian space and we discuss an extension of the Hartley transform on it.

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Keywords: Bohemians; convolution; Hartley transform.

MSC: 44A15, 44A35, 44A40

Pages:  133--143     

Volume  69 ,  Issue  2 ,  2017