Deformed Harish-Chandra homomorphism for the cyclic quiver

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In the case of cyclic quiver we prove that the deformed Harish-Chandra map whose existence was conjectured by Etingof and Ginzburg is well defined. As an application we prove Kirillov-type formula for the cyclotomic Bessel function.
12 pages, no pictures; some proofs are improved improved, references are added

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