A representation of distributions supported on smooth hypersurfaces of Rn
1995 ◽
Vol 117
(1)
◽
pp. 153-160
Keyword(s):
Let S(Rn) be the space of Schwartz class functions. The dual space of S′(Rn), S(Rn), is called the temperate distributions. In this article, we call them distributions. For 1 ≤ p ≤ ∞, let FLp(Rn) = {f:∈ Lp(Rn)}, then we know that FLp(Rn) ⊂ S′(Rn), for 1 ≤ p ≤ ∞. Let U be open and bounded in Rn−1 and let M = {(x, ψ(x));x ∈ U} be a smooth hypersurface of Rn with non-zero Gaussian curvature. It is easy to see that any bounded measure σ on Rn−1 supported in U yields a distribution T in Rn, supported in M, given by the formula
1983 ◽
Vol 26
(3)
◽
pp. 353-360
◽
2011 ◽
Vol 468
(2138)
◽
pp. 511-530
◽
Keyword(s):
1985 ◽
Vol 97
(1)
◽
pp. 111-125
◽
1983 ◽
Vol 26
(1)
◽
pp. 107-112
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