Title: Eigenvalues, Eigenvectors, Eigenfunctions, Everywhere!
Speaker: Kalyan B. Sinha (JNCSAR, Bangalore and IMI Distinguished Associate)
Date: 29 January 2016
Time: 2:15 – 3:15 pm
Venue: LH-1, Mathematics Department
Eigenvalues and eigenvectors appear in many physical and engineering
problems, beginning with the noted study by Euler in 1751 of the kinematics
of rigid bodies. From a mathematical point of view, for an operator of a
suitable class, acting in a vector space, its point spectrum and associated
subspaces refer to its “eigenvalues and eigenvectors”, while the subspaces
associated with the continuous spectrum of the operator is said to consist of
“eigenfunctions”. The basic ideas will be discussed mostly through examples, in
some of which a natural connection with the representation of appropriate
groups lurks behind.