Abstract
We consider “vortical” systems, generated by a linear 2D system in the case of infinitely many revolutions along an infinitesimal circle. The equations of such vortical system are obtained and the role played by operator vessels in the theory of 2D systems is revealed. It turns out that open 2D systems with zero curvature generate certain remarkable relations between partial differential equations at the input and at the output.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. Gauchman, Operator colligations on differentiable manifolds, Toeplitz Centennial (Tel Aviv, 1981), edited by I. Gohberg, Operator Theory Adv. Appl. 4, Birkhauser, Basel, 1982, pp. 271–302.
H. Gauchman, On nonselfadjoint representations of Lie algebras, Integral Equations Operator Theory 6 (1983), 672–705.
M. S. Livsic, N. Kravitsky, A. S. Markus, V. Vinnikov, Theory of Commuting Nonselfadjoint Operators, Mathematics and its Applications 332, Kluwer Academic Publishers Group, Dordrecht, 1995.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Basel AG
About this paper
Cite this paper
Livšic, M.S. (2001). Vortices of 2D Systems. In: Alpay, D., Vinnikov, V. (eds) Operator Theory, System Theory and Related Topics. Operator Theory: Advances and Applications, vol 123. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8247-7_2
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8247-7_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9491-3
Online ISBN: 978-3-0348-8247-7
eBook Packages: Springer Book Archive