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Operators of Hadamard type on spaces of smooth functions |
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| Authors: | Dietmar Vogt |
| Affiliation: | Bergische Universit?t Wuppertal, 42119 Wuppertal, Germany |
| Abstract: | For an open set  we study the algebra  of continuous linear operators on  admitting the monomials as eigenvectors. We give a concrete representation of these operators and evaluate it explicitly for the unit ball and the whole of  . We also study the topology of  and the algebra of eigenvalue sequences. |
| Keywords: | Operators on smooth functions algebra of operators monomials as eigenvectors Primary: 47L80 47B38 Secondary: 46H35 46E10 |
