A Note on Convolution and Composite Convolution Operators

Shallu Sharma

doi:https://doi.org/10.14445/22315373/IJMTT-V36P529

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 36 | Number 3 | Year 2016 | Article Id. IJMTT-V36P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P529

A Note on Convolution and Composite Convolution Operators

Shallu Sharma

Abstract

In this note we obtain the condition for convolution and composite convolution operators to be bounded and Hermition .We also find that only the compact composite convolution operator is the Zero operator.

Keywords

Convolution product, Hermition operator, Bounded and Compact operator.

References

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Citation :

Shallu Sharma, "A Note on Convolution and Composite Convolution Operators," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 3, pp. 212-217, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P529