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Spectra of C2-algebras of pseudodifferential operators with multidimensional discontinuities in symbols

✍ Scribed by B. A. Plamenevskii; V. N. Senichkin

Publisher
Springer US
Year
1987
Tongue
English
Weight
141 KB
Volume
20
Category
Article
ISSN
0016-2663

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πŸ“œ SIMILAR VOLUMES

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Pseudodifferential operators with symbols on a Hilbert phase space are defined as symmetric operators in L2 given by a smooth measure. The main formulae of symbolic calculus are proved in this context.

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Let R"+ ={([,, . . . , tn)€R": CnsO}. We denote by P the orthogonal projection from L2(Rn) onto L,(R:). By P is denoted the FOURIER transformation in L3( Rn) : Pi([) = J f ( z ) e-z(z\*t)dz . ## Rn We consider the pseudodifferential operator A = PF-IuF acting in the space L,(R'L,), where the sym