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The Darboux process and time-and-band limiting for matrix orthogonal polynomials.
- Source :
-
Linear Algebra & its Applications . Dec2015, Vol. 487, p328-341. 14p. - Publication Year :
- 2015
-
Abstract
- We extend to a situation involving matrix valued orthogonal polynomials a scalar result that originates in work of Claude Shannon in laying the mathematical foundations of information theory and a remarkable series of papers by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's. We show that in this case an algebraic miracle that plays a very important role in the classical case survives an application of the so-called Darboux process in the matrix valued context. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 487
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 110216036
- Full Text :
- https://doi.org/10.1016/j.laa.2015.09.012