Sommaire du Fascicule no. 1

Note of correction: “Homogeneity problems in the theory of Čech compactifications,” vol. 23 (1956), pp. 409–419

Rudin, Walter

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Ideals in multiplicative systems of continuous functions: a correction

Civin, Paul ; Yood, Bertram

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Polynomial completeness in locally multiplicatively-convex algebras

Warner, Seth

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p. 1-11

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The formal power series for $\log e^xe^y$

Goldberg, Karl

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p. 13-21

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Structure of $AW^\ast$ -algebras. I.

Goldman, Malcolm

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p. 23-34

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Finite Abelian groups with isomorphic group algebras

Deskins, W. E.

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p. 35-40

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The average order of an arithmetic function

Grosswald, Emil

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p. 41-44

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A class of polynomials and a generalization of Stirling numbers

Chak, A. M.

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p. 45-55

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Sections in principal fibre spaces

Mostert, Paul S.

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p. 57-71

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On general Dirichlet series

Rose, Donald Clayton

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p. 73-82

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The essential spectrum and averages of the potential

Hartman, Philip ; Putnam, Calvin R.

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p. 83-91

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The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point

Langer, Rudolph E.

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p. 93-110

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Differentiable approximations to light interior transformations

Jewett, John

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p. 111-124

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Solution of the linearized Boltzmann transport equation for the slab geometry

Lehner, Joseph ; Wing, G. Milton

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p. 125-142

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A limit theorem for the maximum of normalized sums of independent random variables

Darling, D. A. ; Erdös, P.

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p. 143-155

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Similarity principle with boundary conditions for pseudo-analytic functions

Lee, C. Y.

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p. 157-163

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The uniqueness of Laplace integrals

Akutowicz, Edwin J.

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p. 165-174

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The shift operator for non-stationary stochastic processes

Getoor, R. K.

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p. 175-187

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Multiply monotone functions and their Laplace transforms

Williamson, R. E.

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p. 189-207

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Regions of flatness for analytic functions and their derivatives

Johnson, Jr., Guy

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p. 209-217

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A further note on Dedekind sums

Carlitz, L.

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p. 219-223

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Class number formulas for quadratic forms over $GF[q,x]$

Carlitz, L.

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p. 225-235

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Mappings on inverse sets

Whyburn, G. T.

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p. 237-240

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Reduction of equations to normal form in fields of characteristic $p$

Garrett, James Richard

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p. 241-251

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Radicals in function rings

Pierce, R. S.

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p. 253-261

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On the operator equation $BX-XA=Q$

Rosenblum, Marvin

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p. 263-269

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A geometric construction of $L$ -spaces

Braunschweiger, Chris C.

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p. 271-280

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Covering homotopy

Huebsch, William

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p. 281-291

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Directed limits on rings of continuous functions

Heider, L. J.

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p. 293-296

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A characterization of function-lattices

Heider, L. J.

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p. 297-301

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Embedding of $AW^\ast$ algebras

Feldman, Jacob

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p. 303-307

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Embedding in algebras of type I

Widom, Harold

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p. 309-324

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Ideals in multiplicative semi-groups of continuous functions

Civin, Paul ; Yood, Bertram

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p. 325-334

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Basic properties of discrete analytic functions

Duffin, R. J.

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p. 335-363

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Some connections between topological and algebraic properties in rings of operators

Feldman, Jacob

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p. 365-370

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Polynomial solutions of the cylindrical wave equation

Owens, O. G.

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p. 371-383

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Note on an inequality of Prawitz

Bernardi, S. D.

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p. 385-391

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$n$ -valued irregular Borel measures

Swift, George

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p. 393-407

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Homogeneity problems in the theory of Čech compactifications

Rudin, Walter

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p. 409-419

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Schlicht functions with real coefficients

Reich, Edgar

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p. 421-427

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Converses of Schwarz’s inequality

Bellman, Richard

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p. 429-434

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The number of labeled two-terminal series-parallel networks

Carlitz, L. ; Riordan, J.

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p. 435-445

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Compact monothetic semigroups

Hewitt, Edwin

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p. 447-457

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The coefficients of close-to-convex functions

Reade, Maxwell O.

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p. 459-462

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Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformations

Amir-Moéz, Ali R.

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p. 463-476

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Invariant measures for many-one transformations

Rechard, Ottis W.

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p. 477-488

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The rational points in Hilbert space

Roberts, J. H.

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p. 489-491

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Weighted quadratic partitions over $GF[q,x]$

Carlitz, L.

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p. 493-505

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Atomic decompositions of continua

Anderson, R. D.

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p. 507-514

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Some totient functions

Cohen, Eckford

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p. 515-522

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A note on harmonic functions defined in a half plane

Serrin, James

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p. 523-526

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Exceptional values of entire functions

Singh, S. K.

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p. 527-531

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The Banach algebra $l^1$ with an application to linear transformations

Donoghue, Jr., William F.

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p. 533-537

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Groups of motions transitive on sets of geodesics

Busemann, Herbert

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p. 539-544

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Weighted partitions for general matrices over a finite field

Hodges, John H.

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p. 545-552

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Moebius inversion of Fourier transforms

Goldberg, Richard R. ; Varga, Richard S.

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p. 553-559

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The essential spectra belonging to bounded and half-bounded potentials

Hartman, Philip ; Putnam, Calvin R.

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p. 561-570

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A generalization of some integral identities due to Ingham and Siegel

Bellman, Richard

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p. 571-577

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Unitary dilations of operators

Schreiber, M.

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p. 579-594

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Separation properties and $n$ -indecomposable continua

Burgess, C. E.

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p. 595-599

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Generalized conjugate nets in projective $n$ -space

Hollingsworth, B. J. ; Bell, P. O.

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p. 601-607

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Singular perturbations of nonlinear systems of differential equations related to conditional stability

Levin, J. J.

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p. 609-620

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The order of the zeta function in the critical strip

Grosswald, Emil

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p. 621-622

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An extension of Ramanujan’s sum. III. Connections with totient functions

Cohen, Eckford

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p. 623-630

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The characteristic roots of a matrix: a correction

Easterfield, T. E.

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p. 635-637

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