Sommaire du Fascicule no. 1

Images of convex domains under convex conformal mappings.

Pommerenke, Ch.

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On $C_1$-summability of series.

Erdős, Paul ; Hanani, Haim

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p. 1-14

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The Lindelöf theorem and the real and imaginary parts of normal functions.

Bagemihl, F.

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p. 15-20

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Holomorphic functions, of arbitrarily slow growth, without radial limits.

MacLane, G. R.

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p. 21-24

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On a conjecture of Goodman concerning meromorphic univalent functions.

Jenkins, James A.

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p. 25-27

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A generalization of a continuous choice function theorem.

Jaworowski, J. W.

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p. 29-31

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Asymptotic equivalence and asymptotic behaviour of linear systems.

Brauer, Fred

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p. 33-43

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Solution of a gemetric problem by Fejes Tóth.

Larcher, Heinrich

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p. 45-51

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On ${\germ p}$-adic forms.

Birch, B. J. ; Lewis, D. J.

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p. 53-57

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Representations of real numbers as sums and products of Liouville numbers.

Erdős, P.

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p. 59-60

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On the algebraic closure of a plane set.

Melzak, Z. A.

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p. 61-64

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Invariant Levi factors.

Taft, Earl J.

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p. 65-68

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Isomorphisms of the endomorphism ring of a free module over a principal left ideal domain.

Wolfson, Kenneth G.

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p. 69-75

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Defining relations for full semigroups of finite transformations.

Jónsson, Bjarni

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p. 77-85

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Finite orbit structure on locally compact manifolds.

Mann, L. N.

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p. 87-92

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Isotropy structure of compact Lie groups on complexes.

Kister, J. M. ; Mann, L. N.

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p. 93-96

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Partially free subsets of euclidean $n$-space.

Wilder, R. L.

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p. 97-107

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The existence of optimal controls.

Roxin, Emilio

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p. 109-119

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On asymmetric Diophantine approximations.

Niven, Ivan

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p. 121-123

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Jordan domains and absolute convergence of power series.

Piranian, G.

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p. 125-128

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The geometry of extremal quasiconformal mappings.

Klotz, Tilla

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p. 129-136

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Extremal length definitions for the conformal capacity of rings in space.

Gehring, F. W.

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p. 137-150

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The singularities of continuous functions and vector fields.

Kaplan, Wilfred

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p. 151-159

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Uniqueness theorems for ordinary and hyperbolic differential equations.

Lakshmikantham, V.

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p. 161-166

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Some characterizations of homological dimension.

Kodama, Yukihiro

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p. 167-172

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A theorem on maps with non-negative Jacobians.

Nijenhuis, Albert ; Richardson, R. W.

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p. 173-176

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One-parameter subgroups in semigroups in the plane.

Horne, J. G.

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p. 177-186

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Indecomposable representations of non-cyclic groups.

Reiner, Irving

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p. 187-191

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Retracts and extension spaces for perfectly normal spaces.

McCandless, Byron H.

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p. 193-197

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Isometric immersion of flat Riemannian manifolds in Euclidean space.

O'Neill, Barrett

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p. 199-205

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Factors of $N$-space.

Kwun, Kyung Whan

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p. 207-211

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A note on $\varepsilon $-maps onto manifolds.

Ganea, Tudor

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p. 213-215

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A note on the homology groups of relations.

Thomas, John

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p. 217-223

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Failure of the Krull-Schmidt theorem for integral representations.

Reiner, Irving

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p. 225-231

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On modular forms of levels two and three.

Smart, John Roderick

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p. 233-239

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A new approach to the first fundamental theorem on value distribution.

af Hällström, Gunnar

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p. 241-248

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The Taylor coefficients of inner functions.

Newman, D. J. ; Shapiro, Harold S.

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p. 249-255

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On the coefficients of close-to-convex functions.

Pommerenke, Ch.

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p. 259-269

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On an invariant property of surface integrals.

Nishiura, Togo

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p. 271-275

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Arithmetical notes. VI. Simultaneous binary compositions involving coprime pairs of integers.

Cohen, Eckford

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p. 277-282

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A simplified proof of the partition formula.

Newman, D. J.

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p. 283-287

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The equation $a^M=b^Nc^P$ in a free group.

Lyndon, R. C. ; Schützenberger, M. P.

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p. 289-298

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Cellularity of sets in products.

Curtis, M. L. ; McMillan, D. R.

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p. 299-302

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An existence theorem for periodic solutions of nonlinear ordinary differential equations.

Knobloch, H.-W.

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p. 303-309

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Differential systems and extension of Lyapunov's method.

Lakshmikantham, V.

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p. 311-320

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An analytical approach to the differential equations of the birth-and-death process.

Kemperman, J. H. B.

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p. 321-361

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Periodic, almost-periodic, and semiperiodic sequences.

Berg, I. D. ; Wilansky, Albert

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p. 363-368

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Some free products of cyclic groups.

Newman, M.

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p. 369-373

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Nil ideals in group rings.

Passman, D. S.

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p. 375-384

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On a certain class of transformation groups.

Bredon, Glen E.

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p. 385-393

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The signs of some constants associated with the Riemann zeta-function.

Mitrović, Dragiša

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p. 395-397

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The intersection of Fibonacci sequences.

Stein, S. K.

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p. 399-402

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On a theorem of Fisher concerning the homeomorphism group of a manifold.

Brown, Morton

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p. 403-405

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