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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Nuclearity in axiomatic potential theory

Author(s): Bertram Walsh; Peter A. Loeb
Journal: Bull. Amer. Math. Soc. 72 (1966), 685-689.
MathSciNet review: 0209510
Retrieve article in: PDF

References | Additional information

References:

1.
H. Bauer, Šilovscher Rand und Dirichletsches Problem, Ann. Inst. Fourier (Grenoble) 11 (1961), 89-136. MR 136983
2.
N. Boboc, C. Constantinescue and A. Cornea, Axiomatic theory of harmonic functions. Non-negative superharmonic functions. Ann. Inst. Fourier (Grenoble) (1) 15 (1965), 283-312. MR 185133
3.
M. Brelot, Lectures on potential theory, Tata Institute of Fundamental Research, Bombay, 1960. MR 118980
4.
C. Constantinescu and A. Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik, neue Folge, Bd. 32, 1963. MR 159935
5.
A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955), 191 + 140 pp. MR 75539
6.
P. A. Loeb, An axiomatic treatment of pairs of elliptic differential equations, Doctoral Dissertation, Stanford Univ., 1963.
7.
P. A. Loeb, An axiomatic treatment of pairs of elliptic differential equations, Ann. Inst. Fourier (Grenoble) (to appear). MR 227455
8.
P. A. Loeb and B. Walsh, The equivalence ofHarnack's principle and Harnack's inequality in the axiomatic system of Brelot, Ann. Inst. Fourier (Grenoble) 15 (1965), 597-600. MR 190360
9.
M. Nakai, Radon-Nikodym densities between harmonic measures on the ideal boundary of an open Riemann surface, Nagoya Math. J. 27 (1965), 71-76. MR 197715
A. H. S. Bear and A. M. Gleason, An integral formula for abstract harmonic or parabolic functions, Abstract 633-1, Notices Amer. Math. Soc. 13 (1966), 348.


Additional Information:

DOI: 10.1090/S0002-9904-1966-11557-4
PII: S 0002-9904(1966)11557-4




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