An inverse for the Gohberg-Krupnik symbol map
1980 ◽
Vol 87
(1-2)
◽
pp. 153-165
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Keyword(s):
SynopsisIt is shown that the elements of the closed operator algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients with a fixed finite set of points of discontinuity can be written as the sum of a singular integral operator, a compact operator, and generalized Mellin convolutions. Their Gohberg-Krupnik symbol is given in terms of the Mellin transform. This gives an explicit construction of an operator with prescribed Gohberg—Krupnik symbol.
1971 ◽
Vol 4
(3)
◽
pp. 193-201
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1991 ◽
Vol 37
(3)
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pp. 631-655
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1982 ◽
pp. 211-215
Keyword(s):
1971 ◽
Vol 5
(4)
◽
pp. 955-979
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Keyword(s):
1993 ◽
Vol 17
(3)
◽
pp. 322-337
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1996 ◽
Vol 179
(1)
◽
pp. 187-222
◽
Keyword(s):
1984 ◽
Vol 23
(2)
◽
pp. 307-352
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