Geodesic

Sommaire du Fascicule no. 1

Dedication of the volume
p. I
Estimates for double Hilbert transform
p. 1-15
A note on a generalized hypersingular integral
p. 17-26
A characterization of commutators with Hilbert transforms
p. 27-30
Hardy's inequality with weights
p. 31-38
Singular integrals and spherical convergence
p. 39-45
Interpolation in $L^{p}$ with boundary conditions
p. 47-60
On the localization property of square partial sums for multiple Fourier series
p. 61-69
The renewal theorem for random walk in two-dimensional time
p. 71-85
On certain class of non-removable ideals in Banach algebras
p. 87-92
On cosine operator functions and one-parameter groups of operators
p. 93-105

Sommaire du Fascicule no. 2

On convergence of Fourier series of functions of generalized bounded variation
p. 107-117
Lévy's probability measures on Euclidean spaces
p. 119-148
On the Riesz-Fischer theorem for vector-valued functions
p. 149-164
On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
p. 165-179
The method of Grothendieck-Ramirez and weak topologies in C(T)
p. 181-197
Errata T. XLIV.2
p. 198

Sommaire du Fascicule no. 3

Analytic functions and linearly ordered groups
p. 199-202
On the function of Marcinkiewicz
p. 203-217
Invariant means on $L^{∞}$
p. 219-227
Riesz-Bochner summability of Fourier integrals and Fourier series
p. 229-238
Some remarks an interpolation of operators and Fourier coefficients
p. 239-252
Singular integrals and cardinal series
p. 253-262
The range of a random function defined in the unit disk
p. 263-273
Existence theorems in problems of optimal control
p. 275-285
Oscillatory integrals and multiplier problem for the disc
p. 287-299
Errata T. XLIV.3
p. 300

Sommaire du Fascicule no. 4

Invariant systems of conjugate harmonic functions associated with compact Lie groups
p. 301-308
On regular temperature distribution
p. 309-314
Estimates for spline orthonormal functions and for their derivatives
p. 315-320
Series trigonometriques speciales et corps quadratiques
p. 321-333
Some applications of Zygmund's lemma to nonlinear differential equations in Banach and Hilbert spaces
p. 335-344
Spherical convergence and integrability of multiple trigonometric series on hypersurfaces
p. 345-354
Boundary values of bounded holomorphic functions
p. 355-358
On the derivation and covering properties of a differentiation basis
p. 359-364
The integrability class of the sine transform of a monotonic function
p. 365-369
An estimate of the conjugate functions
p. 371-377
H² spaces of generalized half-planes
p. 379-388
The initial value problem for parabolic equations with data in $L^{p}(R^{n})$
p. 389-409

Sommaire du Fascicule no. 5

On optimal observability of linear systems with infinite-dimensional states
p. 411-416
О приближении функций класса φ(L)
p. 417-427
Lacunarity for compact groups, III
p. 429-476
A divergent multiple Fourier series of power series type
p. 477-491
Structure of Blaschke cocycles
p. 493-500
Weak integrals defined on Euclidean n-space
p. 501-505
Preservation of Lipschitz class by the iterated conjugate operator
p. 507-510
Estimates for translation-invariant operators on spaces with mixed norms
p. 511-515
Errata T. XLIV.5
p. 516

Sommaire du Fascicule no. 6

Convolution with odd kernels
p. 517-526
Distribution function inequalities for the area integral
p. 527-544
An inequality for the indefinite integral of a function in $L^{q}$
p. 545-554
Sur les coefficients des séries de Fourier dont les sommes partielles sont positives sur un ensemble
p. 555-562
Estimates for singular integral operators in terms of maximal functions
p. 563-582
Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
p. 583-595
On spaces of measurable functions
p. 597-615
On Banach spaces X for which $Π_{2}(ℒ_{∞},X)=B(ℒ_{∞},X)$
p. 617-648
Addendum and corrigendum to the paper "Some applications of Zygmund's lemma to non-linear differential equations in Banach and Hilbert spaces" (Studia Math., 44 (1972), pp. 335-344)
p. 649-650
Correction to the paper "On convergence of Fourier series of functions of generalized bounded variation" (Studia Math., 44 (1972), pp. 107-117)
p. 651