Abstract
We prove Wallen-type formulae for integrated semigroups and sine functions with values in a unital Banach algebra with unit u. As the main application, we show that \(p(t) = tu , t \ge 0\) is an isolated integrated semigroup and sine function.
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Bobrowski, A. On Wallen-type formulae for integrated semigroups and sine functions. Arch. Math. 108, 395–404 (2017). https://doi.org/10.1007/s00013-016-1003-2
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DOI: https://doi.org/10.1007/s00013-016-1003-2