2009/02/03 by Victor Katsnelson, Katsnelson, Victor, Ronny Machluf +1
Chemistry · Engineering · Mathematics · #47A38 (Primary) 47B35 #47B06 (Secondary) #Algebra over a field #Basis (linear algebra) #Chemistry #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #Eigenvalues and eigenvectors #FOS: Mathematics #Fourier series #Fourier transform #Geometry #Hermite polynomials #Material Science and Thermodynamics #Mathematical analysis #Mathematics #Operator (biology) #Physics #Pure mathematics #Spectral Theory (math.SP) #advanced mathematical theories #math.CA #math.SP #msc:47A38 #msc:47B06 #msc:47B35
paper · pdf · doi:10.48550/arxiv.0902.0568
26 pages
openalex publication_date 2009/02/03 · arxiv created 2009/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The spectral theory of the Fourier operator (non-truncated) is expounded. The known construction of basis of eigenvectors consisting of the Hermite functions is presented. The detail description of the eigenspaces in the spirit of a work by Hardy and Titchmarsh is done.