Sommaire du Fascicule no. 1

The ergodic theorem

Wiener, Norbert

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p. 1-18

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The mean ergodic theorem

Birkhoff, Garrett

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p. 19-20

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The analytic prolongation of a minimal surface over a rectilinear segment of its boundary

Douglas, Jesse

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p. 21-29

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Surfaces in four-space of constant curvature

Coburn, Nathaniel

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p. 30-38

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The characterization of flat projective spaces by their differential invariants

Singleton, Robert

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p. 39-48

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The Waring problem with summands

Haberzetle, Mary

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p. 49-57

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Isometric embedding of flat manifolds in Euclidean space

Tompkins, C.

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p. 58-61

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Simultaneous invariants of a complex and subcomplex

Clark, C. E.

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p. 62-71

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Lineal element transformations of space for which normal congruences of curves are converted into normal congruences

Kasner, Edward

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p. 72-83

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The subgroup of order $n$ of a transitive group of degree $n$ and class $n-1$

Weisner, Louis

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p. 84-87

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Identities analogous to Ramanujan’s identities involving the parition function

Zuckerman, Herbert S.

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p. 88-110

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Hereditary arc sums

Harrold, Jr., O. G.

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p. 111-117

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A generalization of Picard’s and related theorems

Robinson, Raphael M.

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p. 118-132

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Certain equivalences and subsets of a plane

Jones, F. Burton

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p. 133-145

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The maps determined by the principal curves associated with five and six points in the plane

Cassity, C. Ronald

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p. 146-163

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Functions which assume rational values at rational points

Green, J. W.

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p. 164-171

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A remark on the normal decompositions of groups

Ore, Oystein

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p. 172-173

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On imbedding a space in a complete space

Cohen, L. W.

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p. 174-183

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The Jacobi condition and the index theorem in the calculus of variations

McShane, E. J.

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p. 184-206

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Surfaces of negative curvature and permanent regional transitivity

Grant, Anna

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p. 207-229

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The measure of geodesic types on surfaces of negative curvature

Hedlund, Gustav A.

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p. 230-248

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A proof that every uniformly convex space is reflexive

Pettis, B. J.

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p. 249-253

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Differentiation in Banach spaces

Pettis, B. J.

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p. 254-269

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Non-commutative arithmetic

Dilworth, R. P.

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p. 270-280

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Asymptotic forms for a general class of hypergeometric functions with applications to the generalized Legendre functions

Albert, George E.

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p. 281-292

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Preservation of partial limits in multiple sequence transformations

Hamilton, Hugh J.

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p. 293-297

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Convergence theorems for continued fractions

Leighton, Walter

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p. 298-308

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Generalized problem of Bolza in the calculus of variations

Hestenes, M. R.

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p. 309-324

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A generalized Lambert series

Dobbie, J. M.

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p. 325-332

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Persymmetric and Jacobi determinant expressions for orthogonal polynomials

Spencer, Vivian Eberle

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p. 333-356

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The algebra of lattice functions

Ward, Morgan

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p. 357-371

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Modular fields. I. Separating transcendence bases

Mac Lane, Saunders

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p. 372-393

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Oscillating functions

Boas, Jr., R. P.

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p. 394-400

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A differential equation for orthogonal polynomials

Shohat, J.

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p. 401-417

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On Bernoulli’s numbers and Fermat’s last theorem (Second Paper)

Vandiver, H. S.

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p. 418-427

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Note on topological mappings

Roberts, J. H.

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p. 428-430

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Contributions to the theory of groups of finite order

Ore, Oystein

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p. 431-460

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Invariants of certain stochastic transformations: The mathematical theory of gambling systems

Halmos, Paul R.

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p. 461-478

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Configurations defined by theta functions

Coble, Arthur B.

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p. 479-488

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Invariants

Weyl, Hermann

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p. 489-502

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Additivity and continuity of perspectivity

Halperin, Israel

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p. 503-511

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The variation of the sign of $V$ for an analytic function $U+iV$

Robertson, M. S.

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p. 512-519

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Convexity in a linear space with an inner product

Moskovitz, David ; Dines, L. L.

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p. 520-534

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Fixed sets under homeomorphisms

Kelley, J. L.

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p. 535-537

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The extension of linear functionals

Taylor, A. E.

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p. 538-547

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Certain congruences involving the Bernoulli numbers

Vandiver, H. S.

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p. 548-551

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The invariant theory of the ternary trilinear form

Chanler, Josephine H.

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p. 552-566

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The problem of type for a certain class of Riemann surfaces

Ulrich, F. E.

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p. 567-589

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Some properties of polynomial sets of type zero

Sheffer, I. M.

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p. 590-622

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Annihilator ideals and representation iteration for abstract rings

Everett, Jr., C. J.

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p. 623-627

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Pseudo-normed linear spaces and Abelian groups

Hyers, D. H.

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p. 628-634

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A mean ergodic theorem

Dunford, Nelson

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p. 635-646

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The existence of certain transformations

Whyburn, G. T.

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p. 647-655

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The Weierstrass condition for multiple integral variation problems

Graves, Lawrence M.

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p. 656-660

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Completely monotone functions and sequences

Feller, Willy

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p. 661-674

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Isoperimetric problems of Bolza in non-parametric form

Reid, William T.

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p. 675-691

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The curves of a conjugate net

Lane, E. P. ; MacQueen, M. L.

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p. 692-704

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The algebraic theory of diabolic magic squares

Rosser, Barkley ; Walker, R. J.

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p. 705-728

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A matrix theory of $n$ -dimensional measurement

Larguier, S. J., Everett H.

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p. 729-739

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Limit points of sequences and their transforms by methods of summability

Barone, Henry G.

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p. 740-752

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Functions of bounded variation and non-absolutely convergent integrals in two or more dimensions

Jeffery, R. L.

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p. 753-774

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Cayley numbers and normal simple Lie algebras of type $G$

Jacobson, N.

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p. 775-783

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The first canonical pencil

Bell, P. O.

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p. 784-788

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The non-existence of a certain type of continuous transformation

Harrold, Jr., O. G.

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p. 789-793

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Formal power series transformations

Lewis, Jr., Daniel C.

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p. 794-805

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Topological and metrical points of view in the theory of sets and functions of real variables

Denjoy, A.

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p. 806-813

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Conformal mapping of multiply connected domains

Courant, R.

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p. 814-823

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Duality and commutativity of groups

Baer, Reinhold

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p. 824-838

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Algebras defined by groups whose members are of the form $A^xB^y$

Shaw, James Byrnie

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p. 839-855

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The Jacobi condition for the double integral problem of the calculus of variations

Reid, William T.

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p. 856-870

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Groups and Abelian groups in terms of negative addition and negation

Bernstein, B. A.

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p. 871-874

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Contributions to the theory of Hermitian series

Hille, Einar

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p. 875-936

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A uniqueness theorem for analytic almost-periodic functions

Bochner, S.

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p. 937-940

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Some sums involving polynomials in a Galois field

Carlitz, L.

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p. 941-947

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Integers which are not represented by certain ternary quadratic forms

James, R. D.

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p. 948-962

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