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On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients

✍ Scribed by V. M. Deundyak; I. B. Simonenko


Book ID
106433551
Publisher
Springer US
Year
2005
Tongue
English
Weight
141 KB
Volume
126
Category
Article
ISSN
1573-8795

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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