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In this paper we construct the action of Ding-Iohara and shuffle algebras inthe sum of localized equivariant K-groups of Hilbert schemes of points on C^2.We show that commutative elements K_i of shuffle algebra act through vertexoperators over positive part {h_i}_{i>0} of the Heisenberg algebra in theseK-groups. Hence we get the action of Heisenberg algebra itself. Finally, wenormalize the basis of the structure sheaves of fixed points in such a way thatit corresponds to the basis of Macdonald polynomials in the Fock spacek[h_1,h_2,...].

Heisenberg action in the equivariant K-theory of Hilbert schemes via Shuffle Algebra