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Duke Mathematical Journal
VOL. 7 · NO. 1 | 1940
 
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Articles
Necessary conditions in generalized-curve problems of the calculus of variations
E. J. McShane
Duke Math. J. 7 (1), 1-27, (1940) DOI: 10.1215/S0012-7094-40-00701-3
KEYWORDS: 49.0X
No abstract available
Existence theorems for Bolza problems in the calculus of variations
E. J. McShane
Duke Math. J. 7 (1), 28-61, (1940) DOI: 10.1215/S0012-7094-40-00702-5
KEYWORDS: 49.0X
No abstract available
An analogue of the Staudt-Clausen theorem
L. Carlitz
Duke Math. J. 7 (1), 62-67, (1940) DOI: 10.1215/S0012-7094-40-00703-7
KEYWORDS: 10.0X
No abstract available
Arc-spaces
J. W. T. Youngs
Duke Math. J. 7 (1), 68-84, (1940) DOI: 10.1215/S0012-7094-40-00704-9
KEYWORDS: 56.0X
No abstract available
Functions generated by developing power series in continued fractions
A. Markoff
Duke Math. J. 7 (1), 85-96, (1940) DOI: 10.1215/S0012-7094-40-00705-0
KEYWORDS: 42.3X
No abstract available
The Dirichlet problem for the damped wave equation
D. G. Bourgin
Duke Math. J. 7 (1), 97-120, (1940) DOI: 10.1215/S0012-7094-40-00706-2
KEYWORDS: 36.0X
No abstract available
La loi de Jordan-Hölder dans les hypergroupes et les suites generatrices des corps de nombres 𝔓-adiques. Chapitre II. Suites génératrices des corps de nombres 𝔓-adiques
Marc Krasner
Duke Math. J. 7 (1), 121-135, (1940) DOI: 10.1215/S0012-7094-40-00707-4
KEYWORDS: 09.1X
No abstract available
Quasi-monotone transformations
A. D. Wallace
Duke Math. J. 7 (1), 136-145, (1940) DOI: 10.1215/S0012-7094-40-00708-6
KEYWORDS: 56.0X
No abstract available
A class of functions bounded in the unit circle
H. S. Wall
Duke Math. J. 7 (1), 146-153, (1940) DOI: 10.1215/S0012-7094-40-00709-8
KEYWORDS: 27.0X
No abstract available
Regular curve-families filling the plane, I
Wilfred Kaplan
Duke Math. J. 7 (1), 154-185, (1940) DOI: 10.1215/S0012-7094-40-00710-4
KEYWORDS: 56.0X
No abstract available
The fundamental solution of the parabolic equation
F. G. Dressel
Duke Math. J. 7 (1), 186-203, (1940) DOI: 10.1215/S0012-7094-40-00711-6
KEYWORDS: 36.0X
No abstract available
On the absolute summability of Fourier series, III
W. C. Randels
Duke Math. J. 7 (1), 204-207, (1940) DOI: 10.1215/S0012-7094-40-00712-8
KEYWORDS: 42.3X
No abstract available
Additive prime number theory in real quadratic fields
Albert Leon Whiteman
Duke Math. J. 7 (1), 208-232, (1940) DOI: 10.1215/S0012-7094-40-00713-X
KEYWORDS: 10.0X
No abstract available
A theory of analytic functions in linear associative algebras
James A. Ward
Duke Math. J. 7 (1), 233-248, (1940) DOI: 10.1215/S0012-7094-40-00714-1
KEYWORDS: 09.1X
No abstract available
Orderly differential systems
Joseph Miller Thomas
Duke Math. J. 7 (1), 249-290, (1940) DOI: 10.1215/S0012-7094-40-00715-3
KEYWORDS: 36.0X
No abstract available
Positive solutions of binomial inequalities
Joseph Miller Thomas
Duke Math. J. 7 (1), 291-297, (1940) DOI: 10.1215/S0012-7094-40-00716-5
KEYWORDS: 27.0X
No abstract available
Invariants of systems of second order linear differential equations
Jack Levine
Duke Math. J. 7 (1), 298-311, (1940) DOI: 10.1215/S0012-7094-40-00717-7
KEYWORDS: 36.0X
No abstract available
The dissection of rectangles into squares
R. L. Brooks, C. A. B. Smith, A. H. Stone, W. T. Tutte
Duke Math. J. 7 (1), 312-340, (1940) DOI: 10.1215/S0012-7094-40-00718-9
KEYWORDS: 48.0X
No abstract available
The lattice points of an n-dimensional tetrahedron
D. H. Lehmer
Duke Math. J. 7 (1), 341-353, (1940) DOI: 10.1215/S0012-7094-40-00719-0
KEYWORDS: 10.0X
No abstract available
The approximation of irrational numbers by fractions with odd or even terms
Raphael M. Robinson
Duke Math. J. 7 (1), 354-359, (1940) DOI: 10.1215/S0012-7094-40-00720-7
KEYWORDS: 10.0X
No abstract available
The jump of almost periodic functions and of Fourier integrals
Otto Szász
Duke Math. J. 7 (1), 360-366, (1940) DOI: 10.1215/S0012-7094-40-00721-9
KEYWORDS: 42.3X
No abstract available
The binary polyhedral groups, and other generalizations of the quaternion group
H. S. M. Coxeter
Duke Math. J. 7 (1), 367-379, (1940) DOI: 10.1215/S0012-7094-40-00722-0
KEYWORDS: 20.0X
No abstract available
Trilinear forms
A. B. Coble
Duke Math. J. 7 (1), 380-395, (1940) DOI: 10.1215/S0012-7094-40-00723-2
KEYWORDS: 14.0X
No abstract available
Conditions on the nodes of a rational plane curve
Arthur B. Coble
Duke Math. J. 7 (1), 396-410, (1940) DOI: 10.1215/S0012-7094-40-00724-4
KEYWORDS: 14.0X
No abstract available
The method of orthogonal projection in potential theory
Hermann Weyl
Duke Math. J. 7 (1), 411-444, (1940) DOI: 10.1215/S0012-7094-40-00725-6
KEYWORDS: 36.0X
No abstract available
Real inversion formulas for Laplace integrals
Harry Pollard
Duke Math. J. 7 (1), 445-452, (1940) DOI: 10.1215/S0012-7094-40-00726-8
KEYWORDS: 42.3X
No abstract available
Characteristic functions of families of sets
M. H. Stone
Duke Math. J. 7 (1), 453-457, (1940) DOI: 10.1215/S0012-7094-40-00727-X
KEYWORDS: 27.2X
No abstract available
A class of differential operators of infinite order, I
Einar Hille
Duke Math. J. 7 (1), 458-495, (1940) DOI: 10.1215/S0012-7094-40-00728-1
KEYWORDS: 27.0X
No abstract available
Functions with positive differences
R. P. Boas, Jr., D. V. Widder
Duke Math. J. 7 (1), 496-503, (1940) DOI: 10.1215/S0012-7094-40-00729-3
KEYWORDS: 27.0X
No abstract available
Symmetric transformations in Hilbert space
J. W. Calkin
Duke Math. J. 7 (1), 504-508, (1940) DOI: 10.1215/S0012-7094-40-00730-X
KEYWORDS: 46.0X
No abstract available
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