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Sixteen Papers on Analysis
eBook ISBN:  9781470432393 
Product Code:  TRANS2/28.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
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Sixteen Papers on Analysis
eBook ISBN:  9781470432393 
Product Code:  TRANS2/28.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Volume: 28; 1963; 344 ppMSC: Primary 42

Table of Contents

Articles

N. Ja. Vilenkin — On a class of complete orthonormal systems

D. M. Koteljanskiĭ — On an arithmetic method of orthogonalization in nonseparable 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 PaleyWienerSchwartz 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


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Articles

N. Ja. Vilenkin — On a class of complete orthonormal systems

D. M. Koteljanskiĭ — On an arithmetic method of orthogonalization in nonseparable 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 PaleyWienerSchwartz 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
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