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A large class of nonlocal equations and nonlocal charges for the Harry Dymhierarchy is exhibited. They are obtained from nonlocal Casimirs associatedwith its bi-Hamiltonian structure. The Lax representation for some of theseequations is also given.Comment: to appear in Journal of Mathematical Physics, 17 pages, Late

On the nonlocal equations and nonlocal charges associated with the Harry Dym hierarchy