## Communications in Mathematical Analysis

### On the completeness of systems of recursive integrals

#### Abstract

Given a sufficiently smooth, nonvanishing complex valued function of a real variable defined on a finite interval, we show that it generates a complete system of functions in the $L_{2}$-space constructed by means of a recursive integration procedure.

#### Article information

Source
Commun. Math. Anal., Conference 3 (2011), 172-176.

Dates
First available in Project Euclid: 25 February 2011

https://projecteuclid.org/euclid.cma/1298670011

Mathematical Reviews number (MathSciNet)
MR2772060

Zentralblatt MATH identifier
1221.46013

#### Citation

Kravchenko, Vladislav V. On the completeness of systems of recursive integrals. Commun. Math. Anal. (2011), no. 3, 172--176. https://projecteuclid.org/euclid.cma/1298670011

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