The spectral theory of the Fourier operator truncated on the positive half-axis

2012/08/19 by Victor Katsnelson, Katsnelson, Victor · 1 citation
Mathematics · #35S30 #43A90 #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories #math.SP #msc:35S30 #msc:43A90

paper · pdf · doi:10.48550/arxiv.1208.3817

88 pages. arXiv admin note: substantial text overlap with arXiv:0905.3996

arxiv created 2012/08/19 · openalex publication_date 2012/08/19 · arxiv updated 2012/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The spectral analysis of the operator Fourier truncated on the positive half-axis is done.

Citations

• The truncated Fourier operator. VI

Cited by

• A functional model for the Fourier--Plancherel operator truncated on the positive half-axis

Related

• The truncated Fourier operator. VI
• The truncated Fourier operator. II
• The truncated Fourier operator. III
• The Truncated Fourier Operator. V
• The truncated Fourier operator. I