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A Note on Multipliers for Integrable Boehmians

Nemzer, Dennis — 2009

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 44A40, 42A38, 46F05 The product of an entire function satisfying a growth condition at infinity and an integrable Boehmian is defined. Properties of this product are investigated.

The product of a function and a Boehmian

Dennis Nemzer — 1993

Colloquium Mathematicae

Let A be the class of all real-analytic functions and β the class of all Boehmians. We show that there is no continuous operation on β which is ordinary multiplication when restricted to A.

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