Elliptic transmutation I
1982 ◽
Vol 91
(3-4)
◽
pp. 315-334
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Keyword(s):
SynopsisGiven and similar , modelled on radial Laplace-Beltrami operators (ρp = , in this paper we begin the study of transmutations which leads to elliptic equations Working with and transmutations Qm → −D2 for m > −½ and −D2 → for m < −½, we obtain a transmutation formulation and derivation of many results of generalized axially symmetric potential theory in the first case and in both cases generalized Hilbert transforms (different). Canonical generalizations are then automatic using general transmutation theory.
1953 ◽
Vol 59
(1)
◽
pp. 20-39
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1966 ◽
Vol 16
(3)
◽
pp. 203-212
2018 ◽
Vol 99
(7)
◽
pp. 1171-1180
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Keyword(s):
1976 ◽
Vol s2-12
(3)
◽
pp. 310-314
1964 ◽
Vol 5
(7)
◽
pp. 983-997
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Keyword(s):
1974 ◽
Vol 18
(3)
◽
pp. 318-327
Keyword(s):
1977 ◽
Vol s3-35
(1)
◽
pp. 180-180
1993 ◽
pp. 159-166
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Keyword(s):