Sommaire du Fascicule no. 4

Flows and noncommuting projections on Hilbert space.

Brownell, F. H.

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p. 1-16

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A class of generalized Walsh functions.

Chrestenson, H. E.

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p. 17-31

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Gradient methods of maximization.

Crockett, Jean Bronfenbrenner ; Chernoff, Herman

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p. 33-50

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On groups of orthonormal functions. I.

Fine, N. J.

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p. 51-59

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On groups of orthonormal functions. II.

Fine, N. J.

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p. 61-65

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A note on a paper by L. C. Young.

Gehring, F. W.

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p. 67-72

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On the distribution of Pythagorean triangles.

Lambek, J. ; Moser, L.

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p. 73-83

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On the number of primitive Pythagorean triangles with area less than $n$.

Wild, Roy E.

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p. 85-91

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Approximation of improper integrals by sums over multiples of irrational numbers.

Lehman, R. Sherman

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p. 93-102

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On the number of solutions of $u^k+D\equiv w^2(\mod p)$.

Lehmer, Emma

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p. 103-118

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A modified Schnirelmann density.

Stalley, Robert

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p. 119-124

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The behavior of solutions of a linear differential equation of second order.

Moore, Richard A.

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p. 125-145

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A nonlinear boundary value problem for second order differential systems.

Whyburn, William M.

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p. 147-160

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An extension of a theorem of Jordan and von Neumann.

Blumenthal, Leonard M.

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p. 161-167

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Note on the multiplication formulas for the Jacobi elliptic functions.

Carlitz, L.

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p. 169-176

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The number of solutions of certain types of equations in a finite field.

Carlitz, L.

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p. 177-181

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The generalized simplex method for minimizing a linear form under linear inequality restraints.

Dantzig, George B. ; Orden, Alex ; Wolfe, Philip

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p. 183-195

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Constructions for poles and polars in $n$-dimensions.

Dempster, A. P. ; Schuster, S.

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p. 197-199

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Power-type endomorphisms of some class $2$ groups.

Haimo, Franklin

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p. 201-213

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On generalized subharmonic functions.

Jackson, L. K.

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p. 215-228

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On the renewal equation.

Karlin, Samuel

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p. 229-257

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Some determinants involving Bernoulli and Euler numbers of higher order.

Olson, Frank R.

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p. 259-268

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The adjoint semi-group.

Philips, R. S.

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p. 269-283

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A lattice-theoretical fixpoint theorem and its applications.

Tarski, Alfred

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p. 285-309

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A characterization of complete lattices.

Davis, Anne C.

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p. 311-319

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On the divisibility of the class number of quadratic fields.

Ankeny, N. C. ; Chowla, S.

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p. 321-324

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Collections and sequences of continua in the plane.

Burgess, C. E.

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p. 325-333

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The Dirichlet problem for nonlinear elliptic equations.

Cronin, Jane

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p. 335-344

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A converse of Helly's theorem on convex sets.

Dvoretzky, Aryeh

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p. 345-350

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On a theorem of L. A. Santaló.

Grünbaum, B.

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p. 351-359

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Simple proof of a theorem of P. Kirchberger.

Shimrat, Moshe

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p. 361-362

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A note on Helly's theorem.

Rabin, Michael

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p. 363-366

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On factor functions.

Edwards, R. E.

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p. 367-378

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On certain algebras of measures.

Edwards, R. E.

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p. 379-389

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Methods in affine connection theory.

Flanders, Harley

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p. 391-431

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The reflection principle for polyharmonic functions.

Huber, Alfred

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p. 433-439

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Generalised Riemann invariants.

Ludford, G. S. S.

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p. 441-450

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Generalized Walsh transforms.

Selfridge, R. G.

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p. 451-480

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Note on the ``Evaluation of an integral occurring in servomechanism theory''.

Battin, R. H.

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p. 481-482

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An extension of Weyl's asymptotic law for eigenvalues.

Brownell, F. H.

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p. 483-499

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On the homomorphisms of an algebra onto Frobenius algebras.

Deskins, W. E.

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p. 501-511

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The measure ring for a cube of arbitrary dimension.

Fell, J. M. G.

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p. 513-517

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The norm function of an algebraic field extension. II.

Flanders, Harley

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p. 519-528

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On the change of index for summable series.

Gaier, Dieter

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p. 529-539

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Complete mappings of finite groups.

Hall, Marshall ; Paige, L. J.

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p. 541-549

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Relativization and extension of solutions of irreflexive relations.

Richardson, Moses

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p. 551-584

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An inequality for sets of integers.

Scherk, Peter

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p. 585-587

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On infinite groups.

Scott, W. R.

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p. 589-598

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On homogeneous linear differential equations with arbitrary constant coefficients.

Seidenberg, A.

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p. 599-606

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Cantor-type uniqueness of multiple trigonometric integrals.

Shapiro, Victor L.

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p. 607-622

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Minimal basis and inessential discriminant divisors for a cubic field.

Tornheim, Leonard

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p. 623-631

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On eigenvalues of sums of normal matrices.

Wielandt, Helmut

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p. 633-638

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On a theorem of S. Bernstein

Ankeny, N. C. ; Rivlin, T. J.

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p. 849-852

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The use of forms in variational calculations

Auslander, Louis

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p. 853-859

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Abstract Riemann sums

Civin, Paul

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p. 861-868

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Some ergodic theorems involving two operators

Civin, Paul

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p. 869-876

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The number of solutions of certain cubic congruences

Cohen, Eckford

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p. 877-886

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Specializations over difference fields

Cohn, Richard M.

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p. 887-905

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Pseudo-discriminant and Dickson invariant

Dieudonné, Jean

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p. 907-910

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A comparison theorem for eigenvalues of normal matrices

Fan, Ky

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p. 911-913

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On the convergence behaviour of trigonometric interpolating polynomials

Gosselin, Richard P.

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p. 915-922

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On generating functions of the Jacobi polynomials

Henrici, Peter

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p. 923-931

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An algebra associated with a compact group

Jerison, Meyer

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p. 933-939

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Infinite determinants associated with Hill's equation

Magnus, Wilhelm

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p. 941-951

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The slow steady motion of liquid past a semi-elliptical boss

Power, G. ; Scott-Hutton, D. L.

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p. 953-962

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An algebraic characterization of fixed ideals in certain function rings

Pursell, Lyle E.

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p. 963-969

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Additional note on some Tauberian theorems of O. Szász

Rajagopal, C. T.

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p. 971-975

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Error bounds for iterative solutions of Fredholm integral equations

Rall, L. B.

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p. 977-986

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Pseudo-analytic vectors on pseudo-Kählerian manifolds

Sasaki, Shigeo ; Yano, Kentaro

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p. 987-993

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On the tower theorem for finite groups

Schenkman, Eugene

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p. 995-998

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On the numerical solution of Poisson's equation over a rectangle

Stein, P. ; Peck, J. E. L.

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p. 999-1011

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The mappings of the positive integers into themselves which preserve division

Ward, Morgan

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p. 1013-1023

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Weak locally multiplicatively-convex algebras

Warner, Seth

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p. 1025-1032

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Group-theoretic origin of certain generating functions

Weisner, Louis

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p. 1033-1039

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