Abstract
In the article [136] we considered the operators of the type \( Sf= L(x)f(x)+P.V.\int^b_a \frac{D(x,t)}{x-t} f(t)dt, \) where \( f(x)\,\, \epsilon L^2_k (a,b) \) and the matrix functions \( L(x) \) and \( D(x,t) \) are such that\( L(x)=L^\ast(x),\,\,\,D(x,t)= -D\ast(t,x). \)
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Basel
About this chapter
Cite this chapter
Sakhnovich, L.A. (2012). Integrable operators and canonical differential systems. In: Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions. Operator Theory: Advances and Applications, vol 225. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0356-4_8
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0356-4_8
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0355-7
Online ISBN: 978-3-0348-0356-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)