The Euler-Maclaurin sum formula for an inner derivation |
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| Authors: | John Boris Miller |
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| Institution: | (1) Department of Mathematics, Monash University, 3168 Clayton, Victoria, Australia |
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| Abstract: | An operator form of the Euler-Maclaurin sum formula is obtained, expressing the sum of the Euler-Maclaurin infinite series in an inner derivation as the difference between a summation operator and an inner antiderivation, on a closed subalgebra of a Banach algebra. |
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| Keywords: | Primary 47B47 65B15 39B70 Secondary 39B60 41A58 |
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