TRANSLATION INVARIANT SUBSPACES OF FINITE DIMENSION,
Abstract
Several simple proofs are given of the following theorem. Every finite dimensional translation invariant subspace W of the continuous functions on (minus infinity, infinity), or of the Schwartz distributions on (minus infinity, plus infinity), is spanned by a set of exponential monomials t to the (mu-1) power times e to the (lambda t) power, lambda lambda sub 1, ..., lambda sub k. Thus, W is the solution space o a homogeneous linear ordinary differential equation with constant coefficients. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0412408
Entities
People
- J. Korevaar
- P.m. Anselone
Organizations
- University of Wisconsin–Madison