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Amer. Math. Soc."],"abstract":"<p>\n                    Using\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"q\">\n                        <mml:semantics>\n                          <mml:mi>q<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">q<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -calculus we study a family of reproducing kernel Hilbert spaces which interpolate between the Hardy space and the Fock space. We give characterizations of these spaces in terms of classical operators such as integration and backward-shift operators, and their\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"q\">\n                        <mml:semantics>\n                          <mml:mi>q<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">q<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -calculus counterparts. Furthermore, these new spaces allow us to study intertwining operators between classic backward-shift operators and the q-Jackson derivative.\n                  <\/p>","DOI":"10.1090\/proc\/16720","type":"journal-article","created":{"date-parts":[[2023,11,27]],"date-time":"2023-11-27T15:17:10Z","timestamp":1701098230000},"source":"Crossref","is-referenced-by-count":1,"title":["Generalized \ud835\udc5e-Fock spaces and structural identities"],"prefix":"10.1090","author":[{"given":"Daniel","family":"Alpay","sequence":"first","affiliation":[]},{"given":"Paula","family":"Cerejeiras","sequence":"additional","affiliation":[]},{"given":"Uwe","family":"Kaehler","sequence":"additional","affiliation":[]},{"given":"Baruch","family":"Schneider","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2024,4,15]]},"reference":[{"key":"1","series-title":"SMF\/AMS Texts and Monographs","isbn-type":"print","volume-title":"The Schur algorithm, reproducing kernel spaces and system theory","volume":"5","author":"Alpay, Daniel","year":"2001","ISBN":"https:\/\/id.crossref.org\/isbn\/0821821555"},{"key":"2","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-42181-0","volume-title":"A complex analysis problem book","author":"Alpay, Daniel","year":"2016","ISBN":"https:\/\/id.crossref.org\/isbn\/9783319421797"},{"issue":"4","key":"3","doi-asserted-by":"publisher","first-page":"Paper No. 042102, 21","DOI":"10.1063\/5.0080723","article-title":"Commutators on Fock spaces","volume":"64","author":"Alpay, Daniel","year":"2023","journal-title":"J. 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