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

     

An asymptotic formula for the eigenvalues of the Laplacian operator in an unbounded domain

Author(s): Colin Clark
Journal: Bull. Amer. Math. Soc. 72 (1966), 709-712.
MathSciNet review: 0196258
Retrieve article in: PDF

References | Additional information

References:

1.
Colin Clark, An embedding theorem for function spaces, Pacific J. Math, (to appear) MR 205111
2.
I. M. Glazman, Prijamye metody kačestvennovo spectral'novo analiza singuljarnyh differencial'novo operatorov, Fizmatgiz, Moscow, 1963. MR 185471
3.
A. M. Molcanov, On conditions for the discreteness of the spectrum of a differential operator of second order (Russian), Trudy Moskov. Mat. Obšč. 2 (1953), 169-200. MR 57422
4.
Daniel Ray, On the spectra of second order differential operators, Trans. Amer. Math. Soc. 77 (1954), 299-321. MR 66539
5.
F. Rellich, Das Eigenwertproblem von Δu+λu = 0 in Halbröhren, in Essays presented to R. Courant, Interscience, New York, 1948, 329-344. MR 23428
6.
M. Rosenblatt, On a class of Markov processes, Trans. Amer. Math. Soc. 71 (1951), 120-135. MR 43406
7.
E. C. Titchmarsh, Eigenfunction expansions associated with second order differential equations, Part II, Oxford Univ. Press, 1958. MR 19765


Additional Information:

DOI: 10.1090/S0002-9904-1966-11564-1
PII: S 0002-9904(1966)11564-1




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