Sommaire du Fascicule no. 1

Errata: “Intrinsic functions on matrices,” vol. 28 (1961), pages 291–300

Rinehart, R. F.

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The separation of $S^3$ by a double torus

Edwards, Jr., C. H.

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p. 1-4

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Generating functions for powers of Fibonacci numbers

Riordan, John

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p. 5-12

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Mahler matrices and the equation $QA=AQ^m$

Brenner, J. L.

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p. 13-28

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A new property of the Jacobi symbol

Brenner, J. L.

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p. 29-31

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Asymptotic renewal theorems in the absolutely continuous case

Farrell, R. H.

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p. 33-40

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Test spaces for homological dimension

Kodama, Yukihiro

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p. 41-50

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Operational formulas connected with two generalizations of Hermite polynomials

Gould, H. W. ; Hopper, A. T.

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p. 51-63

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Trace properties of semigroups of matrices with quaternion elements

Wiegmann, N. A.

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p. 65-69

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Subinvariant measures for Markoff operators

Feldman, Jacob

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p. 71-98

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Separability of connected, locally connected, metric spaces

Roy, Prabir

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p. 99-100

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Some extremal theorems for multivalently star-like functions

Bender, John

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p. 101-106

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Theory of compact rings. III. Compact dual rings

Numakura, Katsumi

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p. 107-123

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Concerning local separability in metric spaces

Treybig, L. B.

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p. 125-128

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Two combinatorial theorems on arithmetic progressions

Schmidt, Wolfgang M.

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p. 129-140

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Certain convexity conditions on matrices with applications to Gaussian processes

Chover, J.

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p. 141-150

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Necessary condition on $C$ -fractions of algebraic functions

Merkes, E. P. ; Scott, W. T.

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p. 151-155

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Compactness in function spaces

Brace, John W.

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p. 157-166

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Ramified coverings of Riemann surfaces

Husemoller, Dale H.

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p. 167-174

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Absolutely continuous operators

Schreiber, Morris

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p. 175-190

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The geometry of functions holomorphic in the unit circle, of arbitrarily slow growth, which tend to infinity on a sequence of curves approaching the circumference

MacLane, G. R.

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p. 191-197

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A congruence property of the divisors of $n$ for every $n$

Eynden, C. L. Vanden

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p. 199-202

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Homogeneous and periodic spaces of entire functions

de Branges, Louis

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p. 203-224

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The equation $\bar{t}at=b$ in a composition algebra

Pollak, Barth

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p. 225-230

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Homotopy groups of configuration spaces and the string problem of Dirac

Fadell, E.

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p. 231-242

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The braid groups of $E^2$ and $S^2$

Fadell, Edward ; Van Buskirk, James

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p. 243-257

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Convergence of convolution iterates of measures

Collins, H. S.

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p. 259-264

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Semigroups, continua and the set functions $T^n$ .

Davis, H. S. ; Stadtlander, D. P. ; Swingle, P. M.

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p. 265-280

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Spectral distribution of a differential operator

McKean, Jr., H. P. ; Ray, D. B.

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p. 281-292

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The Weierstrass transform and Hermite polynomials

Bilodeau, G. G.

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p. 293-308

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Parabolic equations with non-smooth coefficients

Aronson, D. G.

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p. 309-324

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A note on permutation functions over a finite field

Carlitz, L.

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p. 325-332

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Functions with positive real part in a half-plane

Goldberg, J. L.

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p. 333-339

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Monotone (nonlinear) operators in Hilbert space

Minty, George J.

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p. 341-346

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Characters and cross sections for certain semigroups

Hunter, R. P. ; Rothman, N. J.

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p. 347-366

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Commutators of matrices with coefficients from the field of two elements

Thompson, R. C.

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p. 367-373

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Integral geometry in the Minkowski plane

Chakerian, G. D.

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p. 375-381

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Symmetry in spaces of entire functions

de Branges, Louis

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p. 383-392

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A new convolution formula and some new orthogonal relations for inversion of series

Gould, H. W.

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p. 393-404

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Generalized weighted $m$-${\rm th}$ power partitions over a finite field

Hodges, John H.

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p. 405-412

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The homology of deleted products of trees

Patty, C. W.

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p. 413-428

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Singular perturbations of a boundary value problem for a nonlinear system of differential equations

Harris, Jr., W. A.

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p. 429-445

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The growth of Sylvester’s cyclotomic numbers

Durst, L. K.

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p. 447-454

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Implications of pointwise bounds on polynomials

Dudley, R. M. ; Randol, Burton

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p. 455-458

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Normalcy in operator algebras

Kadison, Richard V.

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p. 459-464

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Monotoneity of limit mappings

Whyburn, G. T.

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p. 465-470

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Synthetic proof of some prime number inequalities

Mamangakis, S. E.

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p. 471-473

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Generalization of an integral formula of Bateman

Gould, H. W.

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p. 475-479

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The Scholz-Brauer problem in addition chains

Gioia, A. A. ; Subbarao, M. V. ; Sugunamma, M.

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p. 481-487

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Multiple trigonometric series of a particular type

Cross, George

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p. 489-495

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Analytic solutions of the heat equation

Widder, D. V.

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p. 497-503

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Pseudo-complements in semi-lattices

Frink, Orrin

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p. 505-514

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Interval functions and Hellinger integral

Appling, William D. L.

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p. 515-520

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Generating functions for powers of certain sequences of numbers

Carlitz, L.

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p. 521-537

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A generalized Lebesgue covering theorem

Saadaldin, Mohammed Jawad

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p. 539-542

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Two-point boundary problems for linear self-adjoint differential equations of the fourth order with middle term

Barrett, John H.

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p. 543-554

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The structure of some induced representations

Kleppner, Adam

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p. 555-572

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Unitary dilations which are orthogonal bilateral shift operators

Halperin, Israel

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p. 573-580

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The maximum number of zeros in the powers of an indecomposable matrix

Marcus, Marvin ; May, Frank

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p. 581-588

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Two problems of Hewitt

Anderson, Douglas R. ; Powderly, Mary

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p. 589-590

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Ordinary linear differential operators of minimum norm

Reid, William T.

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p. 591-606

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Composition rings

Adler, Irving

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p. 607-623

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A corollary of the Goldbach conjecture

Cohen, Eckford

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p. 625-629

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Automorphisms of Abelian groups induced by involutory matrices

Levine, Jack ; Korfhage, Robert R.

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p. 631-645

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Fixed points of continuous mappings into Euclidean $n$ -space

Abian, Alexander ; Brown, Arthur B.

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p. 647-651

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Fixed points and covering under continuous mappings of a spherical shell

Abian, Alexander ; Brown, Arthur B.

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p. 653-655

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Some global properties of the space of homeomorphisms on a disc with holes

Hamstrom, Mary-Elizabeth

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p. 657-662

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Almost periodic solutions and critical roots

Cronin, Jane

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p. 663-669

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Lattice-equivalence of topological spaces

Thron, W. J.

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p. 671-679

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