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Duke Mathematical Journal
VOL. 40 · NO. 4 | December 1973
 
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Articles
A probabilistic interpretation of Eulerian numbers
S. Tanny
Duke Math. J. 40 (4), 717-722, (December 1973) DOI: 10.1215/S0012-7094-73-04065-9
KEYWORDS: 05A99, 60C05
No abstract available
Enumeration of permutations and sequences with restrictions
L. Carlitz, Richard Scoville, Theresa Vaughan
Duke Math. J. 40 (4), 723-741, (December 1973) DOI: 10.1215/S0012-7094-73-04066-0
KEYWORDS: 05A15
No abstract available
On the generalized and the H-shape theories
Thomas J. Sanders
Duke Math. J. 40 (4), 743-754, (December 1973) DOI: 10.1215/S0012-7094-73-04067-2
KEYWORDS: 54C56
No abstract available
Banach spaces of lp valued holomorphic mappings
James M. Westall, Jr.
Duke Math. J. 40 (4), 755-763, (December 1973) DOI: 10.1215/S0012-7094-73-04068-4
KEYWORDS: ‎46E15
No abstract available
Distributions of exponential growth and their Fourier transforms
Richard D. Carmichael
Duke Math. J. 40 (4), 765-783, (December 1973) DOI: 10.1215/S0012-7094-73-04069-6
KEYWORDS: 46F10
No abstract available
Complications of semicontinuity in C∗-algebra theory
Charles A. Akemann, Gert K. Pedersen
Duke Math. J. 40 (4), 785-795, (December 1973) DOI: 10.1215/S0012-7094-73-04070-2
KEYWORDS: 46L05
No abstract available
Some characterizations of complex space forms
Bang-yen Chen, Koichi Ogiue
Duke Math. J. 40 (4), 797-799, (December 1973) DOI: 10.1215/S0012-7094-73-04071-4
KEYWORDS: 53C55
No abstract available
Fermat’s conjecture, Roth’s theorem, Pythagorean triangles, and Pell’s equation
C. J. Everett
Duke Math. J. 40 (4), 801-804, (December 1973) DOI: 10.1215/S0012-7094-73-04072-6
KEYWORDS: 10B15, 10F25
No abstract available
Equivariant cobordism and homotopy type
Edward C. Hook
Duke Math. J. 40 (4), 805-814, (December 1973) DOI: 10.1215/S0012-7094-73-04073-8
KEYWORDS: 57E15, 57D85
No abstract available
On the existence of nontrivial recurrent motions
Robert J. Sacker, George R. Sell
Duke Math. J. 40 (4), 815-819, (December 1973) DOI: 10.1215/S0012-7094-73-04074-X
KEYWORDS: 54H20‎
No abstract available
K-reflexivity in finite dimensional spaces
Edward A. Azoff
Duke Math. J. 40 (4), 821-830, (December 1973) DOI: 10.1215/S0012-7094-73-04075-1
KEYWORDS: 47A15, 15A21, 46L15
No abstract available
A Hopf algebra approach to the Krein duality theorem
S. A. Selesnick
Duke Math. J. 40 (4), 831-838, (December 1973) DOI: 10.1215/S0012-7094-73-04076-3
KEYWORDS: 22D10, 16A24
No abstract available
A note on local solvability
C. Hoel
Duke Math. J. 40 (4), 839-843, (December 1973) DOI: 10.1215/S0012-7094-73-04077-5
KEYWORDS: 35F05
No abstract available
Duals of Fréechet spaces and a generalization of the Banach-Dieudonnée theorem
Kalman Brauner
Duke Math. J. 40 (4), 845-855, (December 1973) DOI: 10.1215/S0012-7094-73-04078-7
KEYWORDS: 46A05
No abstract available
Positive quasi-orders on semigroups
Mohan S. Putcha
Duke Math. J. 40 (4), 857-869, (December 1973) DOI: 10.1215/S0012-7094-73-04079-9
KEYWORDS: 20M10
No abstract available
Small configurations and their arrays
Judith Q. Longyear
Duke Math. J. 40 (4), 871-876, (December 1973) DOI: 10.1215/S0012-7094-73-04080-5
KEYWORDS: 05B30
No abstract available
Conformal mappings of domains bounded by quasiconformal circles
Donald K. Blevins
Duke Math. J. 40 (4), 877-883, (December 1973) DOI: 10.1215/S0012-7094-73-04081-7
KEYWORDS: 30A24
No abstract available
Some new inverse series relations
H. W. Gould, L. C. Hsu
Duke Math. J. 40 (4), 885-891, (December 1973) DOI: 10.1215/S0012-7094-73-04082-9
KEYWORDS: 05A19, 10A20
No abstract available
Some inverse relations
L. Carlitz
Duke Math. J. 40 (4), 893-901, (December 1973) DOI: 10.1215/S0012-7094-73-04083-0
KEYWORDS: 05A19, 10A20
No abstract available
On centrally splitting
Robert L. Bernhardt
Duke Math. J. 40 (4), 903-905, (December 1973) DOI: 10.1215/S0012-7094-73-04084-2
KEYWORDS: 16A64
No abstract available
On addition chains l(mn)≤l(n)−b and lower bounds for c(r)
Edward G. Thurber
Duke Math. J. 40 (4), 907-913, (December 1973) DOI: 10.1215/S0012-7094-73-04085-4
KEYWORDS: 10L05
No abstract available
Kernels of measures on completely regular spaces
Judith Reeves McKinney
Duke Math. J. 40 (4), 915-923, (December 1973) DOI: 10.1215/S0012-7094-73-04086-6
KEYWORDS: 46E10
No abstract available
Three invariants for complex manifolds
Steven L. Jordan
Duke Math. J. 40 (4), 925-936, (December 1973) DOI: 10.1215/S0012-7094-73-04087-8
KEYWORDS: 32H15, 30A48, 32C10
No abstract available
Topological semigroups, sets of generators, and controllability
Ronald Hirschorn
Duke Math. J. 40 (4), 937-947, (December 1973) DOI: 10.1215/S0012-7094-73-04088-X
KEYWORDS: 22A15, 93B05
No abstract available
Transformation of arithmetic functions
L. Carlitz, M. V. Subbarao
Duke Math. J. 40 (4), 949-958, (December 1973) DOI: 10.1215/S0012-7094-73-04089-1
KEYWORDS: 10A20
No abstract available
Erratum: “Orthocompactness and strong čech completeness in Moore spaces,” vol. 39 (1972) pp. 753–766
Peter Fletcher, William F. Lindgren
Duke Math. J. 40 (4), 959, (December 1973) DOI: 10.1215/S0012-7094-73-04090-8
KEYWORDS: 54E30
No abstract available
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