Sommaire du Fascicule no. 1

Fourier coefficients of dominant functions

Civin, Paul

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p. 1-7

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Rings with unit element which contain a given ring

Brown, Bailey ; McCoy, Neal H.

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p. 9-20

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The topology of pseudo-harmonic functions

Morse, Marston

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p. 21-42

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The summability $(C,1-\epsilon)$ of Fourier series

Hsiang, Fu Cheng

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p. 43-50

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Fiberings with singularities

Montgomery, Deane ; Samelson, Hans

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p. 51-56

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The Fréchet differentials of regular power series in normed linear spaces

Michal, A. D.

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p. 57-59

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The fundamental solution of the parabolic equation, II

Dressel, F. G.

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p. 61-70

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Remarks on the Carlitz $\psi$ -functions

Wade, L. I.

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p. 71-78

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Transcendence properties of the Carlitz $\psi$ -functions

Wade, L. I.

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p. 79-85

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Some properties of solutions of partial differential equations given by their series development

Mitchell, Josephine

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p. 87-104

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Simultaneous Diophantine approximation

Davenport, H. ; Mahler, K.

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p. 105-111

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Roots of equations by functional iteration

Hamilton, Hugh J.

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p. 113-121

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A skew quartic associated with a tetrahedron

Court, N. A.

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p. 123-128

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A note on a theorem of Turán

Lu, Yun Kai

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p. 129-131

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The absolute convergence of the allied series of a Fourier series

Chen, Kien-Kwong

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p. 133-160

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Contact transformations

Lee, H. C.

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p. 161-170

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Two theorems on schlicht functions

Friedman, Bernard

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p. 171-177

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Open and closed transformations

Manning, Rhoda

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p. 179-184

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Square root estimates of arithmetical sum functions

Wintner, Aurel

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p. 185-193

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Overconvergence, degree of convergence, and zeros of sequences of analytic functions

Walsh, J. L.

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p. 195-234

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A theorem of M. Bauer

Brauer, Alfred

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p. 235-238

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Inversion formulae for the factorial transform

Fraser, W. C. G.

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p. 239-246

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Maximal idempotent sets in a ring with unit

Foster, Alfred L.

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p. 247-258

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The problem of the rooks and its applications

Kaplansky, Irving ; Riordan, John

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p. 259-268

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Linear operators with range in a space of differentiable functions

Fullerton, R. E.

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p. 269-280

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A certain class of multiplicative functions

Rankin, R. A.

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p. 281-306

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Integral transforms

Pollard, Harry

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p. 307-330

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Expansion of functions in combinations of generalized hypergeometric functions

Bristow, Leonard

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p. 331-344

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An extension of Carlson’s theorem

Buck, R. Creighton

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p. 345-349

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Absolute and unconditional convergence in Banach spaces

Munroe, M. E.

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p. 351-365

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Singular perturbations of non-linear oscillations

Friedrichs, K. O. ; Wasow, W. R.

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p. 367-381

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The biratio of the altitudes of a tetrahedron

Court, N. A.

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p. 383-386

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Limits for the characteristic roots of a matrix

Brauer, Alfred

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p. 387-395

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A note on the number theory of quaternions

Niven, Ivan

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p. 397-400

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An involutorial space transformation associated with a $Q_{1,n}$ congruence

Vest, M. L.

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p. 401-409

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A self-adjoint differential system of even order

Zimmerberg, Hyman J.

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p. 411-417

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Classes of solutions of linear partial differential equations in three variables

Bergman, Stefan

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p. 419-458

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Division sequences

Thomas, Joseph Miller

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p. 459-469

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The growth of analytic functions

Boas, Jr., R. P.

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p. 471-481

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Correction to “Entire functions bounded on a line”

Boas, Jr., R. P.

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p. 483-484

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The theory of contact of curves in a projective space of $N$ dimensions

Su, Buchin

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p. 485-494

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Some theorems in dimension theory for normal Hausdorff spaces

Hemmingsen, Erik

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p. 495-504

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Elliptic geometry, conformal maps, and orthogonal matrices

Kronsbein, John

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p. 505-519

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The application of vectorial methods to metric geometry

Savage, L. J.

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p. 521-528

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The kernel function of an orthonormal system

Schiffer, Menahem

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p. 529-540

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A class of entire functions

Buck, R. Creighton

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p. 541-559

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Integral Cayley numbers

Coxeter, H. S. M.

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p. 561-578

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Rearrangement of convergent series

Levi, F. W.

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p. 579-585

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The composition of quadratic forms

Richardson, A. R.

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p. 587-600

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Some theorems on Einstein $4$ -space

Wong, Yung-Chow

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p. 601-610

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The theorem of Minkowski-Hlawka

Mahler, Kurt

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p. 611-621

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