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