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Duke Mathematical Journal
VOL. 18 · NO. 1 | March 1951
 
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Articles
Recurrent determinants of Legendre and of ultraspherical polynomials
E. F. Beckenbach, W. Seidel, Otto Szász
Duke Math. J. 18 (1), 1-10, (March 1951) DOI: 10.1215/S0012-7094-51-01801-7
KEYWORDS: 33.0X
No abstract available
The quintic character of 2 and 3
Emma Lehmer
Duke Math. J. 18 (1), 11-18, (March 1951) DOI: 10.1215/S0012-7094-51-01802-9
KEYWORDS: 10.0X
No abstract available
The generalization of the valuation theory
Ladislas Fuchs
Duke Math. J. 18 (1), 19-26, (March 1951) DOI: 10.1215/S0012-7094-51-01803-0
KEYWORDS: 09.1X
No abstract available
Representation of certain Banach algebras on Hilbert space
C. E. Rickart
Duke Math. J. 18 (1), 27-39, (March 1951) DOI: 10.1215/S0012-7094-51-01804-2
KEYWORDS: 46.3X
No abstract available
Symmetrizable completely continuous linear transformations in Hilbert space
William T. Reid
Duke Math. J. 18 (1), 41-56, (March 1951) DOI: 10.1215/S0012-7094-51-01805-4
KEYWORDS: 46.0X
No abstract available
A simplified proof of the expansion theorem for singular second order linear differential equations
Norman Levinson
Duke Math. J. 18 (1), 57-71, (March 1951) DOI: 10.1215/S0012-7094-51-01806-6
KEYWORDS: 36.0X
No abstract available
Projectivities in relatively complemented lattices
J. E. McLaughlin
Duke Math. J. 18 (1), 73-84, (March 1951) DOI: 10.1215/S0012-7094-51-01807-8
KEYWORDS: 09.1X
No abstract available
The structure of locally compact groups
A. M. Gleason
Duke Math. J. 18 (1), 85-104, (March 1951) DOI: 10.1215/S0012-7094-51-01808-X
KEYWORDS: 20.0X
No abstract available
A theorem of Fédoroff
Maxwell O. Reade
Duke Math. J. 18 (1), 105-109, (March 1951) DOI: 10.1215/S0012-7094-51-01809-1
KEYWORDS: 30.0X
No abstract available
A “Simpson’s rule” for the numerical evaluation of Wiener’s integrals in function space
R. H. Cameron
Duke Math. J. 18 (1), 111-130, (March 1951) DOI: 10.1215/S0012-7094-51-01810-8
KEYWORDS: 46.3X
No abstract available
Some general inversion formulae for analytic functions
Louis M. Rauch
Duke Math. J. 18 (1), 131-146, (March 1951) DOI: 10.1215/S0012-7094-51-01811-X
KEYWORDS: 30.0X
No abstract available
Almost periodic geodesics on manifolds of hyperbolic type
W. R. Utz
Duke Math. J. 18 (1), 147-164, (March 1951) DOI: 10.1215/S0012-7094-51-01812-1
KEYWORDS: 46.3X
No abstract available
The variation of spectra
J. D. Newburgh
Duke Math. J. 18 (1), 165-176, (March 1951) DOI: 10.1215/S0012-7094-51-01813-3
KEYWORDS: 46.0X
No abstract available
An isoperimetric problem for multiple integrals in the calculus of variations
H. F. Mathis
Duke Math. J. 18 (1), 177-184, (March 1951) DOI: 10.1215/S0012-7094-51-01814-5
KEYWORDS: 49.0X
No abstract available
Mapping by p-regular functions
J. J. Gergen, F. G. Dressel
Duke Math. J. 18 (1), 185-210, (March 1951) DOI: 10.1215/S0012-7094-51-01815-7
KEYWORDS: 30.0X
No abstract available
Convergence and (C,1,1) summability of double orthogonal series
Josephine Mitchell
Duke Math. J. 18 (1), 211-219, (March 1951) DOI: 10.1215/S0012-7094-51-01816-9
KEYWORDS: 42.4X
No abstract available
A class of operator algebras which are determined by groups
I. E. Segal
Duke Math. J. 18 (1), 221-265, (March 1951) DOI: 10.1215/S0012-7094-51-01817-0
KEYWORDS: 20.0X
No abstract available
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