Abstract
Let be a union of finitely many smooth orientable bounded disjoint surfaces in of various dimensions (between 1 and ), and let be the algebra of functions continuous on () and having discontinuities of homogeneous type on surfaces in . This article includes a description of the algebra of symbols for the algebra generated by all the operators of the form acting in , where and , with and the direct and inverse Fourier transformations, respectively, and with a homogeneous function on of degree zero whose restriction to the unit sphere in is continuous. A criterion for operators in to be Noetherian operators is given.Bibliography: 25 titles.
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