Sommaire du Fascicule no. 1

Bounded analytic functions

Ahlfors, Lars V.

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p. 1-11

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Divisor functions of polynomials in a Galois field

Carlitz, L. ; Cohen, Eckford

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p. 13-20

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Limits for the characteristic roots of a matrix. II.

Brauer, Alfred

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p. 21-26

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The composition of cubic forms

Richardson, A. R.

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p. 27-30

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The uniform approximation to continuous functions by linear aggregates of functions of a given set

Korevaar, J.

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p. 31-50

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Sets of finite planar order

Gustin, William

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p. 51-66

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A theorem of Lichtenstein

Friedrichs, K. O.

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p. 67-82

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The boundedness of solutions of linear differential equations

Bellman, Richard

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p. 83-97

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Fourier-Wiener transforms of functionals belonging to $L_2$ over the space $C$

Cameron, R. H. ; Martin, W. T.

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p. 99-107

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A local maximum property of the fourth coefficient of schlicht functions

Krzywoblocki, M. Z.

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p. 109-128

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The inversion of the transforms with reiterated Stieltjes kernels

Pollard, Harry

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p. 129-142

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Sur les fonctions indéfiniment dérivables de plusieurs variables dont les laplaciens successifs ont des signes alternés

Lelong, Pierre

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p. 143-149

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Plane sections of the tangent surfaces of two space curves

Hsiung, Chuan-Chih

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p. 151-158

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The projective deformation of non-holonomic surfaces

Wang, Hsien-Chung

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p. 159-166

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The summability $(A)$ of the successively derived series of a Fourier series and its conjugate series

Misra, M. L.

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p. 167-177

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The minimum modulus of a bounded analytic function

Heins, Maurice

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p. 179-215

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Inversion formulas for convolution transforms

Widder, D. V.

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p. 217-249

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Sums of an even number of squares in $GF[p^n,x]$

Cohen, Eckford

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p. 251-267

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Representation of $\ast$ -algebras

Arens, Richard

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p. 269-282

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Smallest fields over which every polynomial is solvable by radicals

Brewer, B. W.

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p. 283-287

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A problem in connected finite closure algebras

Puckett, William T.

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p. 289-296

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The Riemann function for $\partial^2u/\partial x\partial y+H(x+y)u=0$

Cohn, Harvey

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p. 297-304

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A problem of arrangements

Dvoretzky, A. ; Motzkin, Th.

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p. 305-313

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The asymptotic density of certain sets of real numbers

Dvoretzky, A. ; Motzkin, Th.

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p. 315-321

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The $L^2$ -solutions of linear differential equations of second order

Hartman, Philip

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p. 323-326

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Groups of harmonic transformations

Kasner, Edward ; De Cicco, John

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p. 327-338

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Partial differential equations related to rational functions of a complex variable

Kasner, Edward ; De Cicco, John

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p. 339-348

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Functions satisfying certain partial differential equations of elliptic type and their representation

Bergman, Stefan

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p. 349-366

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Hlawka’s theorem in the geometry of numbers

Davenport, H. ; Rogers, C. A.

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p. 367-375

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La puissance de certaines classes de fonctions

Obreanu, F.

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p. 377-380

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Tensor theory of invariants for the projective differential geometry of a ruled surface

Doyle, Thomas C.

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p. 381-399

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Cesàro summability of orthogonal series

Cheng, Min-Teh

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p. 401-404

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Summability factors of Fourier series at a given point

Cheng, Min-Teh

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p. 405-410

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The Dirichlet divisor problem

Bellman, Richard

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p. 411-417

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Certain generalizations of the Weierstrass approximation theorem

Hewitt, Edwin

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p. 419-427

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The vanishing of Ramanujan’s function $\tau(n)$

Lehmer, D. H.

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p. 429-433

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Algebraic cohomology groups and loops

Eilenberg, Samuel ; Mac Lane, Saunders

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p. 435-463

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Abstract theory of inversion of iterated summations

Hsu, L. C.

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p. 465-473

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Weak definitions of field

Bernstein, B. A.

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p. 475-482

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Abstract Tauberian theorems with applications to power series and Hilbert series

Northcott, D. G.

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p. 483-502

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The orthogonality of some systems of polynomials

Geronimus, J.

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p. 503-510

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Extending a metric

Bing, R. H.

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p. 511-519

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Semi-automorphisms of rings

Kaplansky, Irving

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p. 521-525

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Topological methods in valuation theory

Kaplansky, Irving

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p. 527-541

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Sums of an even number of squares in $GF[p^n,x]$ , II

Cohen, Eckford

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p. 543-557

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Affine invariants of certain pairs of curves and surfaces

Santaló, L. A.

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p. 559-574

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The location of the critical points of simply and doubly periodic functions

Walsh, J. L.

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p. 575-586

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Two-dimensional concepts of bounded variation and absolute continuity

Radó, Tibor

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p. 587-608

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A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order

Bergman, S. ; Schiffer, M.

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p. 609-638

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An imbedding theorem for paracompact metric spaces

Dowker, C. H.

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p. 639-645

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Over-convergence on the circle of convergence

Erdös, Paul ; Piranian, George

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p. 647-658

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The integral transforms with iterated Laplace kernels

Pollard, Harry

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p. 659-674

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Variation problems formulated in terms of the Weierstrass integral

Ewing, George M.

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p. 675-687

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A fixed point theorem for upper semi-continuous transformations on $n$ -cells for which the images of points are non-acyclic continua

Hamilton, O. H.

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p. 689-693

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The boundedness of solutions of infinite systems of linear differential equations

Bellman, Richard

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p. 695-706

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Cauchy products of divisor functions in $GF[p^n,x]$

Carlitz, L. ; Cohen, Eckford

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p. 707-722

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The determination of connected linear sections

Valentine, F. A.

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p. 723-730

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Some results on double Fourier series

Chandrasekharan, K. ; Minakshisundaram, S.

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p. 731-753

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Multiplicative sequences and Töplerian $(L^2)$ -bases

Hartman, Philip

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p. 755-767

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Regular transformations on generalized manifolds

White, Paul A.

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p. 769-775

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A special class of functions with positive real part in a half-plane

Richards, Paul I.

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p. 777-786

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Duality in linear spaces

Arens, Richard

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p. 787-794

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The chordal hypersurfaces of a rational curve

Wakerling, R. K.

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p. 795-802

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Definite divergence of the conjugate Fourier series

Anderson, Shirley K.

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p. 803-805

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Certain periodic sequences of Laplace of period six in ordinary space

Finikoff, S.

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p. 807-835

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The characterization of algebraic plane curves

Motzkin, Th. ; Robinson, A.

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p. 837-853

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The summability $(A)$ of the conjugate series of a Fourier series

Misra, M. L.

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p. 855-863

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Order of magnitude of the zeros of polynomials in basic series

Eweida, M. T.

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p. 865-875

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Extension of analytic functions

Wolf, František

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p. 877-887

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A minimal problem for harmonic functions

Gergen, J. J. ; Dressel, F. G.

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p. 889-906

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Some results for Dirichlet series

Cowling, V. F.

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p. 907-911

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Note on the strong summability of Fourier series

Loo, Ching-Tsün

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p. 913-919

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Cohomology and representations of associative algebras

Hochschild, G.

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p. 921-948

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A variational method in conformal mapping

Schaeffer, A. C. ; Spencer, D. C.

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p. 949-966

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The identical vanishing of the Laplace integral

Shen, Yu-cheng

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p. 967-973

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Expansion theorems of Paley-Wiener type

de Sz. Nagy, Béla

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p. 975-978

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A characterization of $2$ -manifolds

Young, Jr., Gail S.

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p. 979-990

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An exposition of the relative homotopy theory

Hu, Sze-tsen

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p. 991-1033

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A generalization of Schwarz’ lemma

Nehari, Zeev

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p. 1035-1049

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Invariant measure and the ergodic theorems

Dowker, Yael Naim

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p. 1051-1061

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The singular elements of a Banach algebra

Rickart, C. E.

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p. 1063-1077

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Cyclic projective planes

Hall, Jr., Marshall

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p. 1079-1090

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The type of the polynomials generated by $f(xt)\phi(t)$

Huff, William N.

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p. 1091-1104

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The singular series for sums of squares of polynomials

Carlitz, L.

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p. 1105-1120

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Representations of arithmetic functions in $GF[p^n,x]$

Carlitz, L.

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p. 1121-1137

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A problem of Dickson’s

Carlitz, L.

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p. 1139-1140

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