Sommaire du Fascicule no. 4

Simplified proofs of ``Some Tauberian theorems'' of Jakimovski: Addendum and corrigendum.

Rajagopal, C. T.

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Correction to: ``The reflection principle for polyharmonic functions''.

Huber, Alfred

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Correction to: ``Extension of uniformly continuous transformations in hyperconvex metric spaces''.

Aronszajn, N. ; Panitchpakdi, P.

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Zero-dimensional compact groups of homeomorphisms.

Anderson, R. D.

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p. 797-810

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Holomorphic functionals and complex convexity in Banach spaces.

Bremermann, H. J.

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p. 811-831

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Minimizing integrals in certain classes of monotone functions.

Brunk, H. D. ; Ewing, G. M. ; Utz, W. R.

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p. 833-847

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Uniqueness theory for asymptotic expansions in general regions.

David, Philip

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p. 849-859

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On the least primitive root of a prime.

Erdős, Paul ; Shapiro, Harold N.

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p. 861-865

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Regular regions for the heat equation.

Fulks, W.

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p. 867-877

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A real inversion formula for a class of bilateral Laplace transforms.

Gaffey, William R.

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p. 879-883

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On characteristic functions of Banach space valued random variables.

Getoor, R. K.

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p. 885-896

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Some inequalities between latent roots and minimax (maximin) elements of real matrices.

Guttman, Louis

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p. 897-902

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The number of dissimilar supergraphs of a linear graph.

Harary, Frank

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p. 903-911

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Structure theory for a class of convolution algebras.

Hewitt, Edwin ; Zuckerman, Herbert S.

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p. 913-941

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Some Tauberian theorems.

Jakimovski, Amnon

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p. 943-954

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Simplified proofs of ``Some Tauberian theorems'' of Jakimovski.

Rajagopal, C. T.

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p. 955-960

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A congruence theorem for trees.

Kelly, Paul J.

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p. 961-968

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On the measure of normal formulas.

McNaughton, Robert

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p. 969-982

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Distributivity in Boolean algebras.

Pierce, R. S.

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p. 983-992

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Continuous spectra and unitary equivalence.

Putnam, C. R.

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p. 993-995

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Perturbation of the continuous spectrum and unitary equivalence.

Rosenblum, Marvin

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p. 997-1010

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Certain generalized hypergeometric identities of the Rogers-Ramanujan type.

Singh, V. N.

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p. 1011-1014

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Families of transformations in the function spaces $H^p$.

Swerling, P.

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p. 1015-1029

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The lattice of invariant subspaces of a completely continuous quasi-nilpotent transformation.

Donoghue, W. F.

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p. 1031-1035

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Asymptotic behavior of restricted extremal polynomials and of their zeros.

Fekete, M. ; Walsh, J. L.

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p. 1037-1064

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Biorthogonal systems in Banach spaces.

Foguel, S. R.

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p. 1065-1072

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A theorem on flows in networks.

Gale, David

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p. 1073-1082

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On spaces with a multiplication.

James, I. M.

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p. 1083-1100

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Three test problems in operator theory.

Kadison, Richard V. ; Singer, I. M.

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p. 1101-1106

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A convergence theorem for a certain class of Markoff processes.

Kennedy, Maurice

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p. 1107-1124

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On a new reciprocity, distribution and duality law.

Kurepa, G.

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p. 1125-1143

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Lie algebras of locally compact groups.

Lashof, Richard K.

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p. 1145-1162

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Note on normal numbers.

Long, Calvin T.

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p. 1163-1165

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On certain sums generating the Dedekind sums and their reciprocity laws.

Mikolás, M.

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p. 1167-1178

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Induced homology homomorphisms for set-valued maps.

O'Neill, Barrett

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p. 1179-1184

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A topological characterization of sets of real numbers.

Rudin, Mary Ellen

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p. 1185-1186

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The Fredholm eigen values of plane domains.

Schiffer, M.

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p. 1187-1225

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A three point convexity property.

Valentine, F. A.

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p. 1227-1235

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The center of a compact lattice is totally disconnected.

Wallace, Alexander Doniphan

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p. 1237-1238

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Two theorems on topological lattices.

Wallace, Alexander Doniphan

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p. 1239-1241

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Dimension and non-density preservation of mappings.

Whyburn, G. T.

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p. 1243-1249

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On the functional representation of certain algebraic systems.

Williamson, J. H.

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p. 1251-1277

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Multiplicative norms for metric rings.

Aurora, Silvio

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p. 1279-1304

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On the construction of $R$-modules and rings with polynomial multiplication.

Beaumont, Ross A. ; Byrne, J. Richard

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p. 1305-1317

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An ultraspherical generating function.

Brafman, Fred

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p. 1319-1323

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On the Casimir operator.

Campbell, H. E.

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p. 1325-1331

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Representation theorems for certain functional operators.

Edwards, R. E.

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p. 1333-1339

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The five-point difference equation with periodic coefficients.

Fort, Tomlinson

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p. 1341-1350

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On linear systems with integral valued solutions.

Heller, I.

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p. 1351-1364

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Addition theorems for solutions of the wave equation in parabolic coordinates.

Hochstadt, Harry

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p. 1365-1380

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The coefficient regions of starlike functions.

Hummel, J. A.

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p. 1381-1389

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Estimates for the eigenvalues of infinite matrices.

Koehler, Fulton

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p. 1391-1404

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Perturbation of differential operators.

Kramer, Henry P.

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p. 1405-1435

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Development of the mapping function at an analytic corner.

Lehman, R. Sherman

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p. 1437-1449

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Convexity of Orlicz spaces.

Milnes, Harold Willis

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p. 1451-1483

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Interior variations and some extremal problems for certain classes of univalent functions.

Singh, Vikramaditya

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p. 1485-1504

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On generalized euclidean and non-euclidean spaces.

Stamey, W. L.

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p. 1505-1511

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Retractions in semigroups.

Wallace, A. D.

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p. 1513-1517

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Monotone mappings of manifolds.

Wilder, R. L.

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p. 1519-1528

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A substitution theorem for the Laplace transformation and its generalization to transformations with symmetric kernel.

Buschman, R. G.

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p. 1529-1533

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Numerical solution of vibration problems in two space variables.

Conte, S. D.

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p. 1535-1544

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A property of differential forms in the calculus of variations.

Dedecker, Paul

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p. 1545-1549

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A note on additive functions.

Delange, H. ; Halberstam, H.

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p. 1551-1556

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Characteristic direction for equations of motion of non-Newtonian fluids.

Ericksen, J. L.

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p. 1557-1562

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On two theorems of Phragmén-Lindelöf for linear elliptic and parabolic differential equations of the second order.

Friedman, Avner

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p. 1563-1575

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Additive functionals of a Markov process.

Getoor, R. K.

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p. 1577-1591

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$(\gamma, k)$-summability of series.

Guha, U. C.

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p. 1593-1602

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The tauberian theorem for group algebras of vector-valued functions.

Hausner, Alvin

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p. 1603-1610

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$T$-sets and abstract $({\rm L})$-spaces.

Heider, L. J.

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p. 1611-1618

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Some remarks on a paper of Aronszajn and Panitchpakdi.

Henriksen, Melvin

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p. 1619-1621

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On the generalized radiation problem of A. Weinstein.

Lieberstein, H. M.

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p. 1623-1640

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On the inequality $\Delta u\geq f(u)$.

Osserman, Robert

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p. 1641-1647

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On semi-normal operators.

Putnam, C. R.

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p. 1649-1652

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Bounds for the principal frequency of the non-homogeneous membrane and for the generalized Dirichlet integral.

Schwarz, Binyamin

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p. 1653-1676

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Morrey's representation theorem for surfaces in metric spaces.

Silverman, E.

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p. 1677-1690

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Certain generalized hypergeometric identities of the Rogers-Ramanujan type. II.

Singh, V. N.

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p. 1691-1699

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A determinant in continuous rings.

Smith, R. J.

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p. 1701-1709

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Sub-quasigroups of finite quasigroups.

Wall, Drury W.

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p. 1711-1714

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Monotone completeness of normed semi-ordered linear spaces.

Yamamuro, Sadayuki

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p. 1715-1725

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