engleski

Basic calculus of pseudodifferential operators with nonsmooth symbols

We show that basic calculus of pseudodifferential operators including asymptotic formulae and oscillatory integral representations for the symbol of the composition and the formal adjoint can partially be saved even when we deal with symbols that are not necessarily of class C^∞, but only have continuous partial derivatives up to some finite order.

Pseudodifferential operators ; Nonsmooth symbols ; Symbol calculus ; Oscillatory integrals

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