Share

# Fourier series with respect to general orthogonal systems

• ·

Written in English

### Subjects:

• Functions, Orthogonal.,
• Series, Orthogonal.,
• Fourier series.

## Book details:

Edition Notes

Classifications The Physical Object Statement A. M. Olevskiĭ ; translated from the Russian by B. P. Marshall and H. J. Christoffers. Series Ergebnisse der Mathematik und ihrer Grenzgebiete ;, Bd. 86 LC Classifications QA404.5 .O4313 Pagination viii, 136 p. ; Number of Pages 136 Open Library OL5065809M ISBN 10 0387071032 LC Control Number 74032297

The active development of the theory of orthogonal series in the 20th century has been enhanced by the use of orthonormal systems of functions and series with respect to them in the most varied areas of science (mathematical physics, computational mathematics, functional analysis, quantum mechanics, mathematical statistics, operational calculus. Generalized Fourier Series. A generalized Fourier series is a series expansion of a function based on a system of orthogonal polynomials. By using this orthogonality, a piecewise continuous function $${f\left(x \right)}$$ can be expressed in the form of generalized Fourier series expansion. Nov 15,  · Fourier Series with Respect to General Orthogonal Systems Paperback – Nov 15 by A. Olevskii (Author), B.P. Marshall (Translator), H.J. Christoffers (Translator) & See all 2 formats and editions Hide other formats and editions. Amazon Price New from Author: A. Olevskii. Fourier series with respect to general orthogonal systems. Berlin ; New York: Springer-Verlag. MLA Citation. Olevskii, A. M. Fourier series with respect to general orthogonal systems / A. M. Olevskii ; translated from the Russian by B. P. Marshall and H. J. Christoffers Springer-Verlag Berlin ; New York Australian/Harvard Citation.