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On integral operators with fiber singular type homogeneous kernels in the space lp(r2).

A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calculus is constructed and the criterion of Fredholmness is obtained.

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