Arkiv for Matematik, 1969, Volume 7

In this volume (46 articles)

Issue 1

[1] Polar sets and removable singularities of partial differential equations

[2] Generalized hyperbolicity

[3] Holomorphic functions and Hausdorff dimension

[4] Eine Nevanlinna-Picardsche Theorie en miniature

[5] On the central limit theorem in$R$_{k}

[6] Multi-dimensional integral limit theorems

[7] Multi-dimensional integral limit theorems for large deviations

Issue 2

[1] Some problems related to iterative methods in conformal mapping

[2] On the existence of the scattering operator

[3] Pure submodules

[4] High submodules and purity

[5] On absolute convergence of Fourier series

[6] On the existence of approximate identities in ideals of group algebras

[7] A set of uniqueness for functions, analytic and bounded in the unit disc

Issue 3

[1] On the extension of Lipschitz maps

[2] Convergence and invariance questions for point systems in$R$_{1}under random motion

[3] Sur quelques propriétés arithmétiques des formes binaires à coefficients entiers

[4] On stochastic stationarity of renewal processes

[5] Sur les discriminants des nombres algébriques

[6] Asymptotic behavior of integrals connected with spectral functions for hypoelliptic operators

Issue 4

[1] The Hellinger square-integrability of matrix-valued measures with respect to a non-negative hermitian measure

[2] Application of the Hellinger integrals to$q$-variate stationary stochastic processes

[3] Remarques sur les formes à plusieurs variables décomposables en facteurs linéaires

[4] Determining the absolutely continuous component of a probability distribution from its Fourier-Stieltjes transform

[5] Overconvergence of sequences of rational functions with sparse poles

[6] Estimates of the age of a heat distribution

[7] Sur les unités dans les corps biquadratiques primitifs du premier rang

Issue 5

[1] On the partial differential equation$u$_{$x$}^{2}$u$_{$xx$}+2$u$_{$x$}$u$_{$y$}$u$_{$xy$}+$u$_{$y$}^{2}$u$_{$yy$}=0

[2] Direct sum decompositions in Grothendieck categories

[3] An extremal problem related to Kolmogoroff’s inequality for bounded functions

[4] Smoothness of the boundary function of a holomorphic function of bounded type

[5] Fractional categories

[6] On radial zeros of Blaschke products

Issue 6

[1] Renewal theory and the almost sure convergence of branching processes

[2] Existence of entire functions of one variable with prescribed indicator

[3] Minimization problems for the functional sup_{$x$}$F$($x, f$($x$),$f′$($x$))

[4] On extensions of Lipschitz functions

[5] Quelques propriétés des nombres algébriques du quatrième degré

[6] Convolutions of random functions

[7] Poisson processes as renewal processes invariant under translations

[8] Some remarks about the limit point and limit circle theory

[9] An inequality of Paley and convergence a.e. of Walsh-Fourier series

[10] On a strong form of spectral synthesis

[11] On the laplace transform of functionals on classes of infinitely differentiable functions

[12] Sur un système d’équations linéaires à une infinité d’inconnues. II

[13] A problem of newman on the eigenvalues of operators of convolution type