### A uniqueness theorem for Boehmians of analytic type.

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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.

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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