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From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory


From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

A Volume in Honor of Lance Littlejohn's 70th Birthday
Operator Theory: Advances and Applications, Band 285

von: Fritz Gesztesy, Andrei Martinez-Finkelshtein

128,39 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 11.11.2021
ISBN/EAN: 9783030754259
Sprache: englisch
Anzahl Seiten: 382

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Beschreibungen

<p>The main topics of this volume, dedicated to Lance Littlejohn, are operator&nbsp;and spectral theory, orthogonal polynomials, combinatorics, number theory, and&nbsp;the various interplays of these subjects. Although the event, originally scheduled&nbsp;as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars&nbsp;from around the globe have contributed research in a broad range of mathematical&nbsp;fields. The collection will be of interest to both graduate students and professional&nbsp;mathematicians.</p><p>Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D.&nbsp;Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones,&nbsp;K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D.&nbsp;McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong,&nbsp;K. Ono,&nbsp;J.L. Padgett, M.M.M. Pang, T. Poe, A.Sri Ranga, K. Schiefermayr, Q. Sheng, B.&nbsp;Simanek,&nbsp;J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.</p><div><br></div><p></p>
Preface.- Compositions and Chebyshev Polynomials.-&nbsp;Non-negative Extensions of Hamiltonian Systems.-&nbsp;On Simon’s Hausdorff Dimension Conjecture.-&nbsp;Hypergeometric Functions over Finite Fields and&nbsp;Modular Forms: A Survey and New Conjectures.-&nbsp;Ballistic Transport for Periodic&nbsp;Jacobi Operators on&nbsp;Zd.-&nbsp;Perspectives on General Left-Definite Theory.-&nbsp;Sampling in the range of the analysis operator of&nbsp;a continuous frame having unitary structure.-&nbsp;An extension of the coherent pair of measures of&nbsp;the second kind on the unit circle.-&nbsp;Bessel-Type Operators and a Refinement of Hardy’s Inequality.-&nbsp;Spectral Theory of Exceptional Hermite&nbsp;Polynomials.-&nbsp;Occupation time for classical and quantum walks.-&nbsp;On foci of ellipses inscribed in cyclic polygons.-&nbsp;A Differential Analogue of Favard’s Theorem.-&nbsp;Intrinsic properties of strongly continuous&nbsp;fractional semigroups in normed vector spaces.-&nbsp;The BFK-gluingformula for zeta-determinants and the conformal&nbsp;rescaling of a metric.-&nbsp;New representations of the Laguerre–Sobolev&nbsp;and Jacobi–Sobolev orthogonal polynomials.-&nbsp;Compactness, or Lack Thereof, for the&nbsp;Harmonic Double Layer.-&nbsp;Weighted Chebyshev Polynomials on Compact&nbsp;Subsets of the Complex Plane.-&nbsp;The Eichler integral of E2 and q-brackets of t-hook functions.<div><div><div><br></div></div></div>
<p>The main topics of this volume, dedicated to Lance Littlejohn, are operator&nbsp;and spectral theory, orthogonal polynomials, combinatorics, number theory, and&nbsp;the various interplays of these subjects. Although the event, originally scheduled&nbsp;as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars&nbsp;from around the globe have contributed research in a broad range of mathematical&nbsp;fields. The collection will be of interest to both graduate students and professional&nbsp;mathematicians.</p><p>Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D.&nbsp;Evans, J. Fillman,&nbsp;D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum,&nbsp;S. Guo, M. Hunziker, A. Iserles, T.F. Jones,&nbsp;K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett,&nbsp;A. Martinez-Finkelshtein, D.&nbsp;McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong,&nbsp;K. Ono,&nbsp;J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B.&nbsp;Simanek,&nbsp;J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.</p>
Celebrates Lance Littlejohn's achievements Spans over many areas in analysis Contains contributions of international specialists

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