Open Advanced Search

Log in
Enterprise Plans
Sign Up

Log in
Sign Up
Enterprise Plans
Browse
Features
Pricing

DeepDyve

Advanced Search

show/hide query preview

With all of the words or DOIs:

DeepDyve's default query mode: search by keyword or DOI.

With the exact phrase:

Require these words, in this exact order. Do not surround your terms in double-quotes ("") in this field.

With at least one of the words:

Find any of these words, separated by spaces

Without the words:

Exclude each of these words, separated by spaces

With words in the article title:

Search for these terms only in the title of an article

Published between the years:

With the following authors:

Most effective as: LastName, First Name or Lastname, FN

With words in the journal name:

Search for articles published in journals where these words are in the journal name

Reset filters

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

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

Part of the Operator Theory: Advances and Applications Book Series (volume 285)

Editors: Gesztesy, Fritz; Martinez-Finkelshtein, Andrei

DOI: 10.1007/978-3-030-75425-9

ISBN: 978-3-030-75424-2

Publisher: Springer International Publishing - Springer Journals

May 11, 2021

1 - 10 of 19 Chapters

LitStream

Chapter 1Compositions and Chebyshev Polynomials

Andrews, George E.

Pages: 1 –14

[The Theory of Compositions of integers has mostly been relegated to the very basic aspects of combinatorics. The object of this paper is to reveal their close relation to the Chebyshev polynomials Tn(x) and Un(x). As a result, interesting combinatorial questions arise for compositions that have...
LitStream

Chapter 2Non-negative Extensions of Hamiltonian Systems

Brown, B. M.; Evans, W. D.; Wood, I. G.

Pages: 15 –29

[This paper is focused on determining the non-negative self-adjoint extensions of a Hamiltonian system using the Kreı̆n-Višik-Birman theory. As an example of this, the non-negative self-adjoint extensions of a fourth-order ODE are determined.]
LitStream

Chapter 3On Simon’s Hausdorff Dimension Conjecture

Damanik, David; Fillman, Jake; Guo, Shuzheng; Ong, Darren C.

Pages: 31 –39

[Barry Simon conjectured in 2005 that the Szegő matrices, associated with Verblunsky coefficients {αn}n∈ℤ+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Chapter 4Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures

Dawsey, Madeline Locus; McCarthy, Dermot

Pages: 41 –56

[Hypergeometric functions over finite fields were introduced by Greene in the 1980s as a finite field analogue of classical hypergeometric series. These functions, and their generalizations, naturally lend themselves to, and have been widely used in, character sum evaluations and counting points...
LitStream

Chapter 5Ballistic Transport for Periodic Jacobi Operators on

Fillman, Jake

Pages: 57 –68

[In this expository work, we collect some background results and give a short proof of the following theorem: periodic Jacobi matrices on exhibit strong ballistic motion.]
LitStream

Chapter 6Perspectives on General Left-Definite Theory

Frymark, Dale; Liaw, Constanze

Pages: 69 –89

[In 2002, Littlejohn and Wellman developed a celebrated general left-definite theory for semi-bounded self-adjoint operators with many applications to differential operators. The theory starts with a semi-bounded self-adjoint operator and constructs a continuum of related Hilbert spaces and...
LitStream

Chapter 7Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure

García, Antonio G.

Pages: 91 –111

[We establish a regular sampling theory in the range of the analysis operator of a continuous frame having a unitary structure. The unitary structure is related with a unitary representation of a locally compact abelian group on a separable Hilbert space. The samples are defined by means of...
LitStream

Chapter 8An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle

Garza, Lino G.; Marcellán, F.; Ranga, A. Sri

Pages: 113 –142

[This paper deals with sequences of monic polynomials { Φn(μk;z)}n≥0, k = 0, 1, orthogonal with respect to two nontrivial Borel measures μk, k = 0, 1, supported on the unit circle, satisfying (n+1)−1Φn+1′(μ0;z)=Φn(μ1;z)+anΦn−1(μ1;z)+bnΦn−2(μ1;z)\documentclass[12pt]{minimal}...
LitStream

Chapter 9Bessel-Type Operators and a Refinement of Hardy’s Inequality

Gesztesy, Fritz; Pang, Michael M. H.; Stanfill, Jonathan

Pages: 143 –172

[The principal aim of this paper is to employ Bessel-type operators in proving the inequality ∫0πdx|f′(x)|2≥14∫0πdx|f(x)|2sin2(x)+14∫0πdx|f(x)|2,f∈H01((0,π)),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}...
LitStream

Chapter 10Spectral Theory of Exceptional Hermite Polynomials

Gómez-Ullate, David; Grandati, Yves; Milson, Robert

Pages: 173 –196

[In this paper we revisit exceptional Hermite polynomials from the point of view of spectral theory, following the work initiated by Lance Littlejohn. Adapting a result of Deift, we provide an alternative proof of the completeness of these polynomial families. In addition, using equivalence of...

results per page

Browse All eBooks

Features

Search and discover articles on DeepDyve, PubMed, and Google Scholar
Read the full-text of open access and premium content
Organize articles with folders and bookmarks
Collaborate on and share articles and folders

Info

Pricing
Enterprise Plans
Browse Journals & Topics
About DeepDyve

Help

Help
Publishers
Contact Us

Sign up for your DeepDyve account now!

Read and print from thousands of top scholarly journals.

System error. Please try again!

Continue with Facebook

By signing up, you agree to DeepDyve’s Terms of Service and Privacy Policy.

Already have an account? Log in

Save Article to Bookmarks

Bookmark this article. You can see your Bookmarks on your DeepDyve Library.

To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Our policy towards the use of cookies

All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.

cookie policy