Jan Kucera, Department of Mathematics, Washington State University, Pullman, Washington 99164-3113, U.S.A., e-mail: kucera@math.wsu.edu; Carlos Bosch, Departamento de Matematicas, ITAM, Mexico D.F., MEXICO, e-mail: bosch@itam.mx
Abstract: Spaces $\mathcal{O}_q$, $q \in\N$, of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
Keywords: temperate distribution, multiplication operator, inductive limit of locally convex spaces, projective limit of locally convex spaces, generalized derivative, Sobolev derivative
Classification (MSC 2000): 46F10, 46A13
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