{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T00:08:56Z","timestamp":1773706136739,"version":"3.50.1"},"publisher-location":"Providence, Rhode Island","reference-count":45,"publisher":"American Mathematical Society","isbn-type":[{"value":"9781470477226","type":"print"},{"value":"9781470474294","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"abstract":"<p>\n                    We consider a family of matrix-valued orthogonal polynomials of size\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"2 times 2\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mn>2<\/mml:mn>\n                            <mml:mo>\n                              \u00d7\n                              \n                            <\/mml:mo>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">2\\times 2<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    , which are common eigenfunctions of a differential operator of hypergeometric type, in connection with the problem of time-and-band limiting. The problem in question is as follows: Given a global operator, defined by an integral kernel or a full matrix, one looks for a local operator given by a second-order differential operator or a block tridiagonal matrix respectively, commuting with the global one.\n                  <\/p>\n                  <p>We apply the techniques for the construction of the commuting local operator introduced in a previous work by A. Gr\u00fcnbaum, I. Pacharoni and I. Zurrian in the matrix-valued setting, where the role of bispectrality is crucial. This constitutes an illustrative example of an extension to a situation involving matrix orthogonality, of a scalar result that originates in a series of papers by D. Slepian, H. Landau and H. Pollak at Bell Labs in the sixties.<\/p>","DOI":"10.1090\/conm\/807\/16164","type":"other","created":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T13:11:42Z","timestamp":1730725902000},"page":"19-38","source":"Crossref","is-referenced-by-count":0,"title":["Time-and-band limiting for matrix-valued orthogonal polynomials related with 2\u00d72 hypergeometric operators"],"prefix":"10.1090","author":[{"given":"M.","family":"Castro","sequence":"first","affiliation":[]},{"given":"A.","family":"Foulqui\u00e9-Moreno","sequence":"additional","affiliation":[]},{"given":"A.","family":"Fradi","sequence":"additional","affiliation":[]}],"member":"14","reference":[{"issue":"2","key":"1","doi-asserted-by":"publisher","first-page":"697","DOI":"10.1007\/s40840-021-01211-x","article-title":"Structural formulas for matrix-valued orthogonal polynomials related to 2\u00d72 hypergeometric operators","volume":"45","author":"Calder\u00f3n, C.","year":"2022","journal-title":"Bull. Malays. Math. Sci. 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