The Mathematical Intelligencer, ISSN 0343-6993, 6/2019, Volume 41, Issue 2, pp. 87 - 87

...Arithmetic by Paul Lockhart CAMBRIDGE: HARVARD UNIVERSITY PRESS, 2017, 240 PP., US $22.95, ISBN 978-0-674-97223-0 REVIEWED BY PAMELA GORKIN A A musician wakes...

Mathematics, general | Mathematical Methods in Physics | Mathematics | Numerical and Computational Physics, Simulation | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering

Mathematics, general | Mathematical Methods in Physics | Mathematics | Numerical and Computational Physics, Simulation | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 2, pp. 1354 - 1366

We provide a new proof of a theorem of Fujimura characterizing Blaschke products of degree-4 that are compositions of two degree-2 Blaschke products, connect...

Blaschke product | Numerical range | Compression of the shift operator | Poncelet curve | MATHEMATICS | MATHEMATICS, APPLIED | POLYGONS

Blaschke product | Numerical range | Compression of the shift operator | Poncelet curve | MATHEMATICS | MATHEMATICS, APPLIED | POLYGONS

Journal Article

JOURNAL OF OPERATOR THEORY, ISSN 0379-4024, 2018, Volume 79, Issue 1, pp. 225 - 265

We consider two-variable model spaces associated to rational inner functions on the bidisk, which always possess canonical z(2)-invariant subspaces S-2, and...

numerical range | MATHEMATICS | MATRIX | bidisk | SPACES | inner function | Compressions of the shift | OPERATORS

numerical range | MATHEMATICS | MATRIX | bidisk | SPACES | inner function | Compressions of the shift | OPERATORS

Journal Article

The Mathematical Intelligencer, ISSN 0343-6993, 2/2014, Volume 36, Issue 1, pp. 78 - 79

... 978-0-465-03292-1 REVIEWED BY PAMELA GORKIN I I f you’ve taken or taught an introductory statistics course, the following may sound familiar: ‘‘In 1964, a woman shopping in Los...

Numerical and Computational Physics | Mathematics, general | Mathematical Methods in Physics | Mathematics | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering

Numerical and Computational Physics | Mathematics, general | Mathematical Methods in Physics | Mathematics | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering

Journal Article

The Mathematical Intelligencer, ISSN 0343-6993, 9/2013, Volume 35, Issue 3, pp. 80 - 80

... 978-3-642-22104-0 REVIEWED BY PAMELA GORKIN F F irst-semester calculus used to be one of my favorite courses to teach. After seeing the deﬁnition of derivative and using...

Numerical and Computational Physics | Mathematics, general | Mathematical Methods in Physics | Mathematics | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering

Numerical and Computational Physics | Mathematics, general | Mathematical Methods in Physics | Mathematics | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering

Journal Article

2003, Undergraduate texts in mathematics, ISBN 0387008349, 391

This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics....

Technical writing | Study and teaching (Higher) | Mathematics | Logic, Symbolic and mathematical | Global analysis (Mathematics) | Analysis | Number theory | Mathematical Logic and Foundations

Technical writing | Study and teaching (Higher) | Mathematics | Logic, Symbolic and mathematical | Global analysis (Mathematics) | Analysis | Number theory | Mathematical Logic and Foundations

eBook

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2012, Volume 389, Issue 2, pp. 1259 - 1267

This paper determines the group of continuous invariants corresponding to an inner function Θ with finitely many singularities on the unit circle T; that is,...

Group of invariants | Blaschke product | Inner function | MATHEMATICS | MATHEMATICS, APPLIED | VALUES | Functional Analysis | Mathematics

Group of invariants | Blaschke product | Inner function | MATHEMATICS | MATHEMATICS, APPLIED | VALUES | Functional Analysis | Mathematics

Journal Article

The Mathematical Intelligencer, ISSN 0343-6993, 3/2012, Volume 34, Issue 1, pp. 72 - 73

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2015, Volume 426, Issue 2, pp. 1201 - 1216

We present four algorithms to determine whether or not a Blaschke product is a composition of two non-trivial Blaschke products and, if it is, the algorithms...

Blaschke product | Critical values | Composition | Poncelet curve | MATHEMATICS | MATHEMATICS, APPLIED | NUMERICAL RANGE | INNER FUNCTIONS | POLYGONS | Algorithms

Blaschke product | Critical values | Composition | Poncelet curve | MATHEMATICS | MATHEMATICS, APPLIED | NUMERICAL RANGE | INNER FUNCTIONS | POLYGONS | Algorithms

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 2/2016, Volume 22, Issue 1, pp. 137 - 158

...J Fourier Anal Appl (2016) 22:137–158 DOI 10.1007/s00041-015-9414-1 Thin Sequences and Their Role in Model Spaces and Douglas Algebras Pamela Gorkin 1 · Brett...

Primary: 46E22 | Thin sequences | Signal, Image and Speech Processing | Mathematics | Secondary: 30D55 | Abstract Harmonic Analysis | Reproducing kernel | Interpolation | Mathematical Methods in Physics | Asymptotic orthonormal sequence | 46B15 | Fourier Analysis | Approximations and Expansions | Partial Differential Equations | 47A | MATHEMATICS, APPLIED | H-INFINITY | INTERPOLATING-SEQUENCES | Analysis | Algebra

Primary: 46E22 | Thin sequences | Signal, Image and Speech Processing | Mathematics | Secondary: 30D55 | Abstract Harmonic Analysis | Reproducing kernel | Interpolation | Mathematical Methods in Physics | Asymptotic orthonormal sequence | 46B15 | Fourier Analysis | Approximations and Expansions | Partial Differential Equations | 47A | MATHEMATICS, APPLIED | H-INFINITY | INTERPOLATING-SEQUENCES | Analysis | Algebra

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2012, Volume 364, Issue 5, pp. 2319 - 2337

We study the most well-known example of a Blaschke product with infinite angular derivative everywhere and show that it is an interpolating Blaschke product....

Circles | Integers | Algebra | Mathematical theorems | Analytic functions | Applied mathematics | Subalgebras | Subharmonics | Mathematical functions | Angular derivative | Blaschke product | Interpolating blaschke product | MATHEMATICS | interpolating Blaschke product | COMPOSITION OPERATORS | angular derivative | SEQUENCES

Circles | Integers | Algebra | Mathematical theorems | Analytic functions | Applied mathematics | Subalgebras | Subharmonics | Mathematical functions | Angular derivative | Blaschke product | Interpolating blaschke product | MATHEMATICS | interpolating Blaschke product | COMPOSITION OPERATORS | angular derivative | SEQUENCES

Journal Article

The American Mathematical Monthly, ISSN 0002-9890, 02/2019, Volume 126, Issue 2, pp. 99 - 111

We consider several seemingly unrelated theorems, each with the word ellipse in the statement: Siebeck's theorem, the elliptical range theorem, Poncelet's...

Primary 15A60, Secondary 30J10 | MATHEMATICS | NUMERICAL RANGE | COMPRESSIONS | SIMPLE PROOF

Primary 15A60, Secondary 30J10 | MATHEMATICS | NUMERICAL RANGE | COMPRESSIONS | SIMPLE PROOF

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 365, Issue 1, pp. 93 - 102

By connecting Blaschke products, unitary dilations of matrices, numerical range, Poncelet's theorem and interpolation, we extend and simplify Gau and Wu's work...

Sendov's conjecture | Blaschke product | Numerical range | Poncelet curve | Unitary dilation | MATHEMATICS | MATHEMATICS, APPLIED | NORMAL COMPRESSION | POLYGONS | CURVES

Sendov's conjecture | Blaschke product | Numerical range | Poncelet curve | Unitary dilation | MATHEMATICS | MATHEMATICS, APPLIED | NORMAL COMPRESSION | POLYGONS | CURVES

Journal Article

Mathematica Scandinavica, ISSN 0025-5521, 2018, Volume 122, Issue 2, pp. 277 - 298

We determine when a finite Blaschke product B can be written, in a non-trivial way, as a composition of two finite Blaschke products (Ritt's problem) in terms...

INTERPOLATION | MATHEMATICS | FINITE BLASCHKE PRODUCTS

INTERPOLATION | MATHEMATICS | FINITE BLASCHKE PRODUCTS

Journal Article

Revista Matematica Iberoamericana, ISSN 0213-2230, 2015, Volume 31, Issue 3, pp. 841 - 864

Journal Article

Israel Journal of Mathematics, ISSN 0021-2172, 6/2010, Volume 177, Issue 1, pp. 267 - 284

... Gorkin Department of Mathematics, Bucknell University Lewisburg, PA 17837 , USA e-mail: pgorkin@bucknell.edu AND Raymond Mortini Laboratoire de Math´ ematiques et...

Algebra | Theoretical, Mathematical and Computational Physics | Analysis | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | H-INFINITY | DOUGLAS ALGEBRAS | Functional equations | Functions | Research

Algebra | Theoretical, Mathematical and Computational Physics | Analysis | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | H-INFINITY | DOUGLAS ALGEBRAS | Functional equations | Functions | Research

Journal Article

REVISTA MATEMATICA IBEROAMERICANA, ISSN 0213-2230, 2015, Volume 31, Issue 3, pp. 841 - 864

In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and H-p...

INFINITY | MATHEMATICS | interpolation | thin sequences | asymptotic orthonormal sequence | ANALYTIC-FUNCTIONS | Hardy space | INTERPOLATING-SEQUENCES | DOUGLAS ALGEBRAS

INFINITY | MATHEMATICS | interpolation | thin sequences | asymptotic orthonormal sequence | ANALYTIC-FUNCTIONS | Hardy space | INTERPOLATING-SEQUENCES | DOUGLAS ALGEBRAS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2012, Volume 388, Issue 2, pp. 1013 - 1026

Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace H generated by the limit points in the H norm of the orbit of a thin...

Invariant subspaces | Eigenfunctions of composition operators | Blaschke products | MATHEMATICS | MATHEMATICS, APPLIED | COMPOSITION OPERATORS | INTERPOLATING-SEQUENCES

Invariant subspaces | Eigenfunctions of composition operators | Blaschke products | MATHEMATICS | MATHEMATICS, APPLIED | COMPOSITION OPERATORS | INTERPOLATING-SEQUENCES

Journal Article

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Full Text
The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common by Jim Henle

The Mathematical intelligencer, ISSN 0343-6993, 04/2018, Volume 40, Issue 1, pp. 86 - 87

..., ISBN9780691164861 REVIEWED BY PAMELA GORKIN O n January 6, 2017, at the Joint Mathematics Meetings, Francis Su delivered his motivational Retiring Pres- idential Address...

Journal Article

The Mathematical Intelligencer, ISSN 0343-6993, 3/2008, Volume 30, Issue 1, pp. 71 - 72

Journal Article

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