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A holomorphic functional calculus for finite families of commuting semigroups

A holomorphic functional calculus for finite families of commuting semigroups

Let A be a commutative Banach algebra such that uA = {0} for u $\in$ A \ {0} which possesses dense principal ideals. The purpose of the paper is to give a general framework to define F (--$\lambda$1$\Delta$T 1 ,. .. , --$\lambda$ k $\Delta$T k) where F belongs to …