Symbolic Computation Applied to the Study of the Kernel of a Singular Integral Operator with Non-Carleman Shift and Conjugation

On the Hilbert space L ~ 2 ( T ) the singular integral operator with non-Carleman shift and conjugation K = P + + ( a I + A C ) P - is considered, where P ± are the Cauchy projectors, A = ∑ j = 0 m a j U j , a , a j , j = 1 , m ¯ , are continuous functions on the unit circle T , U is the shift opera...

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