MATEMATIČKI VESNIK Vol. 69, No. 2, pp. 133–143 (2017) 

On generalizations of Boehmian space and Hartley transformC. Ganesan and R. RoopkumarC.G.: Department of Mathematics, V. H. N. S. N. College, Virudhunagar  626001, India. Email: c.ganesan28@yahoo.com and R.R.:Department of Mathematics, Central University of Tamil Nadu, Thiruvarur  610101, India. Email: roopkumarr@rediffmail.comAbstract: 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. Keywords: Bohemians; convolution; Hartley transform. Classification (MSC2000): 44A15; 44A35, 44A40 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 24 Feb 2017. This page was last modified: 17 Mar 2017.
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