Time and band limiting for matrix valued functions: an integral and a commuting differential operator. (9th January 2017)

• Record Type: Journal Article
• Authors: Grünbaum, F A; Pacharoni, I; Zurrián, I
• Is Part Of: Inverse problems. Volume 33:Number 2(2017:Feb.)
• Publication Date: 2017-01-09
• Subjects: time-band limiting -- double concentration -- matrix valued orthogonal polynomials; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa53b8
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: The problem of recovering a signal of finite duration from a piece of its Fourier transform was solved at Bell Labs in the 1960's, by exploiting a 'miracle': a certain naturally appearing integral operator commutes with an explicit differential one. Here we show that this same miracle holds in a matrix valued version of the same problem.