AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Seventeen Papers on Analysis
About this Title
V. I. Arnol$’$d, V. G. Boltjanskiĭ, N. V. Efimov, G. I. Èskin, A. N. Kolmogorov, D. M. Koteljanskiĭ, N. N. Krasovskiĭ, D. E. Men$’$šov, I. G. Portnov, S. S. Ryškov, Ju. A. Šaškin, G. E. Šilov, S. B. Stečkin, S. A. Teljakovskiĭ, N. I. Trebukova and N. Ja. Vilenkin
Publication: American Mathematical Society Translations: Series 2
Publication Year:
1963; Volume 28
ISBNs: 978-0-8218-1728-5 (print); 978-1-4704-3239-3 (online)
DOI: https://doi.org/10.1090/trans2/028
Table of Contents
Download chapters as PDF
Front/Back Matter
Articles
- N. Ja. Vilenkin – On a class of complete orthonormal systems
- D. M. Koteljanskiĭ – On an arithmetic method of orthogonalization in non-separable Hilbert spaces
- V. I. Arnol′d – On functions of three variables
- A. N. Kolmogorov – On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
- V. I. Arnol′d – Representation of continuous functions of three variables by the superposition of continuous functions of two variables
- D. E. Men′šov – On convergent sequences of partial sums of trigonometric series
- G. I. Èskin – Generalization of the Paley-Wiener-Schwartz theorem
- N. I. Trebukova – Metric convergence and metric isomorphism
- N. Ja. Vilenkin – On the theory of positive definite generalized kernels
- G. E. Šilov – Analytic functions in a normed ring
- G. E. Šilov – Letter to the Editor
- V. G. Boltjanskiĭ, S. S. Ryškov and Ju. A. Šaškin – On $k$-regular imbeddings and their application to the theory of approximation of functions
- A. V. Efimov – Linear methods of approximation of certain classes of periodic continuous functions
- S. B. Stečkin – The approximation of periodic functions by Fejér sums
- S. A. Teljakovskiĭ – On norms of trigonometric polynomials and approximation of differentiable functions by linear averages of their Fourier series. I
- N. N. Krasovskiĭ – On a problem of optimal control
- I. G. Portnov – On the leading edge of a region of cavitation