Abstract:We establish an index formula for the Fredholm convolution type operators A = m k=1 a k W 0 (b k ) acting on the space L 2 (R), where a k , b k belong to the C * -algebra alg(SO, P C) of piecewise continuous functions on R that admit finite sets of discontinuities and slowly oscillate at ±∞, first in the case where all a k or all b k are continuous on R and slowly oscillating at ±∞, and then assuming that a k , b k ∈ alg(SO, P C) satisfy an extra Fredholm type condition. The study is based on a number of reduc… Show more
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