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

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-gluing formula 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>