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A comparison algebra on a cylinder with semi-periodic multiplications

A comparison algebra on a cylinder with semi-periodic multiplications

A necessary and sufficient Fredholm criterion is found for a C*algebra of bounded operators on a cylinder, which contains operators of the form LΛ M , where Λ = (1 -Δ)~1 /2and L is an Mth order differential operator whose coefficients are periodic at infinity. 282