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Local solvability and hypoellipticity for pseudodifferential operators of Egorov type with infinite degeneracy

Local solvability and hypoellipticity for pseudodifferential operators of Egorov type with infinite degeneracy

Let P be a pseudodifferential operator of the form where s, b ≥ 0 are even integers and is odd function with f′(t ) > 0 ( t ≠ 0). Here . We shall call P an operator of Egorov type because P with f(t ) = t k , …