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Multiplication of Boehmians


Affiliations
1 Deparunent of Mathematics, Sri Krishna College of Engineering and Technology, Coimbatore-641 008, India
     

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We introduce a multiplication o f any two Boehmians and prove that this multiplication is consistent with the multiplication o f distribution and smooth function. We verify some classical properties o f multiplication in this context. We also compare this multiplication with the available multiplication of a funcltion and a Boehmian and give an example o f a pair o f Boehmians, one representing a singular distribution and another not representing any distribution, which can be multiplied with each other.

Keywords

Boehmians, Multiplication, Schwartz Distributions.
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  • Multiplication of Boehmians

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Authors

R. Roopkumar
Deparunent of Mathematics, Sri Krishna College of Engineering and Technology, Coimbatore-641 008, India

Abstract


We introduce a multiplication o f any two Boehmians and prove that this multiplication is consistent with the multiplication o f distribution and smooth function. We verify some classical properties o f multiplication in this context. We also compare this multiplication with the available multiplication of a funcltion and a Boehmian and give an example o f a pair o f Boehmians, one representing a singular distribution and another not representing any distribution, which can be multiplied with each other.

Keywords


Boehmians, Multiplication, Schwartz Distributions.