Title :
Spectral representation of linear operators in the Hilbert space
Author_Institution :
Humboldt-Univ., Berlin, Germany
Abstract :
Representing solution methods of nonlinear operator equations in system theory requires the inclusion of notions and methods of functional analysis. An example is given of statements of linear system theory as they relate to mathematical notions of functional analysis
Keywords :
Hilbert spaces; differential equations; functional analysis; nonlinear systems; system theory; Hilbert space; differential equations; functional analysis; linear operators; linear system theory; nonlinear operator equations; Differential equations; Eigenvalues and eigenfunctions; Functional analysis; Hilbert space; Linear systems; Nonlinear equations; Polynomials;
Conference_Titel :
Electronic Instrument Engineering Proceedings, 1998. APEIE-98. Volume 1. 4th International Conference on Actual Problems of
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-4938-5
DOI :
10.1109/APEIE.1998.768958