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On Green's Formula for Half‐Spaces
Author(s) -
Kuran Ü
Publication year - 1970
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-2.1.60-s
Subject(s) - mathematics , generality , context (archaeology) , relation (database) , discrete mathematics , calculus (dental) , combinatorics , computer science , medicine , psychology , paleontology , dentistry , database , psychotherapist , biology
I am indebted to F. T. Brawn for pointing out that Theorem 2 is incorrect in its generality. In fact, one has to weaken either the hypothesis or the result. An additional hypothesis is more appropriate to the context of the paper: THEOREM 2. If s ε S t , v is the measure distribution Δ s and∫ R n × { a }d v = 0 ( a > 0 )then the mean M s is continuously differentiate on (0, +∞) and for a > 0 5d M sd y( a ) = − ∫ D ad vThe relation (13) obtained in the proof of Theorem 2 is now correct and the proof of Theorem 2 given on p. 543 does not need any alteration.