Geodesic

Mathematics. Vol. IV

Table of contents

The development of interpretations of non-Euclidean geometry
p. 3-8
A study of generalized interpretations of the plane geometry of Lobachevskii and its geodesic lines
p. 9-14
Some special questions relating to interpretations of the plane geometry of Lobachevskii
p. 15-20
The construction of a system of models of the elliptic plane in the Euclidean plane
p. 21-29
The geometry of adiabatic flow
p. 30-52
On the differentiability of the transition probabilities in stationary Markov processes with a denumberable number of states
p. 53-59
The distribution of fractional parts and convergence of functional series with gaps
p. 60-68
Biorthogonal systems and bases in Hilbert space
p. 69-107
On Fourier series of continuous functions
p. 108-132
On some extremal problems of the theory of analytic functions
p. 133-143
On stability according to Lyapunov of the equilibrium positions of a system of two differential equations in the case of discontinuous right hand sides
p. 144-180
On the continuous dependence upon a parameter of the spectrum of a symmetric linear integral operator
p. 181-191
On coverings of topological spaces
p. 204-215
On components of maximal bicompact extensions
p. 216-218
On the theory of dimension of topological spaces
p. 219-223
Remark on the work of N. K. Bari, “Biorthogonal systems and bases in Hilbert space”
p. 224-225