Hermite functions and weighted spaces of generalized functions |
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| Authors: | Michael Langenbruch |
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| Affiliation: | (1) Department of Mathematics, University of Oldenburg, 26111 Oldenburg, Germany |
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| Abstract: | We prove that the Hermite functions are an absolute Schauder basis for many weighted spaces of (ultra)differentiable functions and ultradistributions including the space of Fourier hyperfunctions. The coefficient spaces are also determined. Dedicated to Professor H.-G. Tillmann on the occasion of his 80th birthday |
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| Keywords: | Primary 46A35 33C45 Secondary 46A61 |
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