Skip to main content
SpringerLink
Log in
Birkhäuser

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

A Volume in Honor of Lance Littlejohn's 70th Birthday

  • Book
  • © 2021

Overview

Editors:
  1. Fritz Gesztesy

    1. Department of Mathematics, Baylor University, Waco, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Andrei Martinez-Finkelshtein

    1. Department of Mathematics, Baylor University, Waco, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Celebrates Lance Littlejohn's achievements
  • Spans over many areas in analysis
  • Contains contributions of international specialists

Part of the book series: Operator Theory: Advances and Applications (OT, volume 285)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Compositions and Chebyshev Polynomials

    • George E. Andrews
    Pages 1-14

  3. Non-negative Extensions of Hamiltonian Systems

    • B. M. Brown, W. D. Evans, I. G. Wood
    Pages 15-29

  4. On Simon’s Hausdorff Dimension Conjecture

    • David Damanik, Jake Fillman, Shuzheng Guo, Darren C. Ong
    Pages 31-39

  5. Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures

    • Madeline Locus Dawsey, Dermot McCarthy
    Pages 41-56

  6. Ballistic Transport for Periodic Jacobi Operators on

    • Jake Fillman
    Pages 57-68

  7. Perspectives on General Left-Definite Theory

    • Dale Frymark, Constanze Liaw
    Pages 69-89

  8. Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure

    • Antonio G. García
    Pages 91-111

  9. An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle

    • Lino G. Garza, F. Marcellán, A. Sri Ranga
    Pages 113-142

  10. Bessel-Type Operators and a Refinement of Hardy’s Inequality

    • Fritz Gesztesy, Michael M.  H. Pang, Jonathan Stanfill
    Pages 143-172

  11. Spectral Theory of Exceptional Hermite Polynomials

    • David Gómez-Ullate, Yves Grandati, Robert Milson
    Pages 173-196

  12. Occupation Time for Classical and Quantum Walks

    • F. A. Grünbaum, L. Velázquez, J. Wilkening
    Pages 197-212

  13. On Foci of Ellipses Inscribed in Cyclic Polygons

    • Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe, Brian Simanek
    Pages 213-238

  14. A Differential Analogue of Favard’s Theorem

    • Arieh Iserles, Marcus Webb
    Pages 239-263

  15. Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces

    • Tiffany Frugé Jones, Joshua Lee Padgett, Qin Sheng
    Pages 265-279

  16. The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric

    • Klaus Kirsten, Yoonweon Lee
    Pages 281-303

  17. New Representations of the Laguerre–Sobolev and Jacobi–Sobolev Orthogonal Polynomials

    • Clemens Markett
    Pages 305-327

  18. Compactness, or Lack Thereof, for the Harmonic Double Layer

    • Dorina Mitrea, Irina Mitrea, Marius Mitrea
    Pages 329-355

  19. Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane

    • Galen Novello, Klaus Schiefermayr, Maxim Zinchenko
    Pages 357-370

  20. The Eichler Integral of E 2 and q-brackets of t-hook Functions

    • Ken Ono
    Pages 371-382
Back to top

Keywords

About this book

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians.

Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. 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, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A.Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.



Editors and Affiliations

  • Department of Mathematics, Baylor University, Waco, USA

    Fritz Gesztesy, Andrei Martinez-Finkelshtein

Bibliographic Information

  • Book Title: From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

  • Book Subtitle: A Volume in Honor of Lance Littlejohn's 70th Birthday

  • Editors: Fritz Gesztesy, Andrei Martinez-Finkelshtein

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-75425-9

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-75424-2Published: 12 November 2021

  • Softcover ISBN: 978-3-030-75427-3Published: 13 November 2022

  • eBook ISBN: 978-3-030-75425-9Published: 11 November 2021

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XVI, 382

  • Number of Illustrations: 8 b/w illustrations, 20 illustrations in colour

  • Topics: Operator Theory, Number Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation