Greg Knese

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Schur-Agler class in infinitely many variables	2025	Greg Knese
+ PDF Chat	Testing von Neumann inequalities with nilpotent matrices	2025	Greg Knese
+	Stable polynomials and admissible numerators in product domains	2024	Kelly Bickel Greg Knese J. E. Pascoe Alan Sola
+ PDF Chat	Three radii associated to Schur functions on the polydisk	2024	Greg Knese
+ PDF Chat	Stable polynomials and admissible numerators in product domains	2024	Kelly Bickel Greg Knese J. E. Pascoe Alan Sola
+ PDF Chat	Boundary local integrability of rational functions in two variables	2024	Greg Knese
+ PDF Chat	Local theory of stable polynomials and bounded rational functions of several variables	2024	Kelly Bickel Greg Knese J. E. Pascoe Alan Sola
+	Local theory of stable polynomials and bounded rational functions of several variables	2021	Kelly Bickel Greg Knese J. E. Pascoe Alan Sola
+ PDF Chat	Kummert's approach to realization on the bidisk	2021	Greg Knese
+ PDF Chat	An [O <scp>iii</scp>] search for extended emission around AGN with H <scp>i</scp> mapping: a distant cloud ionized by Mkn 1	2020	Erin Darnell Knese William C. Keel Greg Knese Vardha N. Bennert А. В. Моисеев A. A. Grokhovskaya Sergei N. Dodonov
+ PDF Chat	A simple proof of necessity in the McCullough-Quiggin theorem	2020	Greg Knese
+	A simple proof of necessity in the McCullough-Quiggin theorem	2019	Greg Knese
+	Kummert's approach to realization on the bidisk	2019	Greg Knese
+ PDF Chat	Extreme points and saturated polynomials	2019	Greg Knese
+	An [O III] search for extended emission around AGN with H I mapping: a distant cloud ionized by Mkn 1	2019	Erin Darnell Knese William C. Keel Greg Knese Vardha N. Bennert А. В. Моисеев A. A. Grokhovskaya Sergei N. Dodonov
+ PDF Chat	Cyclic polynomials in anisotropic Dirichlet spaces	2019	Greg Knese Łukasz Kosiński Thomas Ransford Alan Sola
+ PDF Chat	Global Bounds on Stable Polynomials	2018	Greg Knese
+ PDF Chat	Determinantal representations of semihyperbolic polynomials	2016	Greg Knese
+	Polynomials with no zeros on a face of the bidisk	2016	Jeffrey S. Geronimo Plamen Iliev Greg Knese
+	Unions of Lebesgue spaces and<i>A</i><sub>1</sub>majorants	2016	Greg Knese John E. McCarthy Kabe Moen
+ PDF Chat	Unions of Lebesgue spaces and<i>A</i><sub>1</sub>majorants	2016	Greg Knese John E. McCarthy Kabe Moen
+ PDF Chat	Canonical Agler decompositions and transfer function realizations	2016	Kelly Bickel Greg Knese
+	Cyclic polynomials in anisotropic Dirichlet~spaces	2015	Greg Knese Łukasz Kosiński Thomas Ransford Alan Sola
+ PDF Chat	Integrability and regularity of rational functions:	2015	Greg Knese
+ PDF Chat	The von Neumann inequality for 3 × 3 matrices	2015	Greg Knese
+	Cyclic polynomials in two variables	2015	Catherine Bénéteau Greg Knese Łukasz Kosiński Constanze Liaw Daniel Seco Alan Sola
+	Cyclic polynomials in anisotropic Dirichlet~spaces	2015	Greg Knese Łukasz Kosiński Thomas Ransford Alan Sola
+	Cyclic polynomials in two variables	2014	Catherine Bénéteau Greg Knese Łukasz Kosiński Constanze Liaw Daniel Seco Alan Sola
+	Cyclic polynomials in two variables	2014	Catherine Bénéteau Greg Knese Łukasz Kosiński Constanze Liaw Daniel Seco Alan Sola
+	Canonical Agler Decompositions and Transfer Function Realizations	2013	Kelly Bickel Greg Knese
+	Determinantal representations of semi-hyperbolic polynomials	2013	Greg Knese
+	Inner functions on the bidisk and associated Hilbert spaces	2013	Kelly Bickel Greg Knese
+ PDF Chat	Uchiyama's lemma and the John-Nirenberg inequality	2013	Greg Knese
+	Canonical Agler Decompositions and Transfer Function Realizations	2013	Kelly Bickel Greg Knese
+	Unions of Lebesgue spaces and $A_1$ majorants	2013	Greg Knese John E. McCarthy Kabe Moen
+	Inner functions on the bidisk and associated Hilbert spaces	2012	Kelly Bickel Greg Knese
+	Nevanlinna–Pick interpolation on distinguished varieties in the bidisk	2012	Michael T. Jury Greg Knese Scott McCullough
+	Zero-free polynomial approximation on a chain of Jordan domains	2012	Paul M. Gauthier Greg Knese
+	WOLFF'S THEOREM ON IDEALS	2012	For Matrices Caleb Holloway Tavan T. Trent Robert L. Moore Jon M. Corson Martin Evans Greg Knese A. Stern
+ PDF Chat	Orthogonality relations for bivariate Bernstein-Szegő measures	2012	Jeffrey S. Geronimo Plamen Iliev Greg Knese
+	Inner functions on the bidisk and associated Hilbert spaces	2012	Kelly Bickel Greg Knese
+ PDF Chat	Rational inner functions in the Schur-Agler class of the polydisk	2011	Greg Knese
+	Schur-Agler class rational inner functions on the tridisk	2011	Greg Knese
+ PDF Chat	A refined Agler decomposition and geometric applications	2011	Greg Knese
+	Stable symmetric polynomials and the Schur–Agler class	2011	Greg Knese
+	A refined Agler decomposition and geometric applications	2010	Greg Knese
+	Stable symmetric polynomials and the Schur-Agler class	2010	Greg Knese
+ PDF Chat	Polynomials defining distinguished varieties	2010	Greg Knese
+ PDF Chat	Polynomials with no zeros on the bidisk	2010	Greg Knese
+ PDF Chat	Kernel Decompositions for Schur Functions on the Polydisk	2010	Greg Knese
+	Stable symmetric polynomials and the Schur-Agler class	2010	Greg Knese
+	Agler interpolation families of kernels	2009	Michael T. Jury Greg Knese Scott McCullough
+	Algebraic pairs of isometries	2009	Jim Agler Greg Knese John E. McCarthy
+ PDF Chat	Agler interpolation families of kernels	2009	Michael T. Jury Greg Knese Scott McCullough
+ PDF Chat	Bernstein-Szeg\"o measures on the two dimensional torus	2008	Greg Knese
+	Function theory on the Neil parabola	2007	Greg Knese
+	A Schwarz lemma on the polydisk	2007	Greg Knese
+	Polynomials on the two dimensional torus	2007	Greg Knese
+	Function theory on the Neile parabola	2005	Greg Knese

Common Coauthors

Coauthor	Papers Together
Alan Sola	10
Kelly Bickel	10
Łukasz Kosiński	6
J. E. Pascoe	4
John E. McCarthy	4
Daniel Seco	3
Kabe Moen	3
Catherine Bénéteau	3
Michael T. Jury	3
Thomas Ransford	3
Scott McCullough	3
Constanze Liaw	3
Plamen Iliev	2
А. В. Моисеев	2
William C. Keel	2
Jeffrey S. Geronimo	2
Vardha N. Bennert	2
A. A. Grokhovskaya	2
Erin Darnell Knese	2
Sergei N. Dodonov	2
Paul M. Gauthier	1
Tavan T. Trent	1
Jim Agler	1
Jon M. Corson	1
Robert L. Moore	1
For Matrices	1
Caleb Holloway	1
A. Stern	1
Martin Evans	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Function theory in polydiscs	1996	Walter Rudin	22
+	Pick Interpolation and Hilbert Function Spaces	2002	Jim Agler John E. McCarthy	21
+	Scattering Systems with Several Evolutions and Multidimensional Input/State/Output Systems	2005	Joseph A. Ball Cora Sadosky Victor Vinnikov	16
+ PDF Chat	Polynomials with no zeros on the bidisk	2010	Greg Knese	15
+ PDF Chat	Ando's theorem and sums of squares	1999	Brian Cole John Wermer	13
+ PDF Chat	Distinguished varieties	2005	Jim Agler John E. McCarthy	12
+ PDF Chat	Positive extensions, Fejér–Riesz factorization and autoregressive filters in two variables	2004	Jeffrey S. Geronimo Hugo J. Woerdeman	11
+ PDF Chat	Bernstein-Szeg\"o measures on the two dimensional torus	2008	Greg Knese	11
+ PDF Chat	Polynomials defining distinguished varieties	2010	Greg Knese	11
+ PDF Chat	Rational inner functions in the Schur-Agler class of the polydisk	2011	Greg Knese	10
+	Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality	2008	Anatolii Grinshpan Dmitry S. Kaliuzhnyi-Verbovetskyi Victor Vinnikov Hugo J. Woerdeman	9
+ PDF Chat	Norm preserving extensions of holomorphic functions from subvarieties of the bidisk	2003	James Agler John E. McCarthy	7
+	Local geometry of zero sets of holomorphic functions near the torus	2008	Jim Agler John E. McCarthy Mark Stankus	7
+	On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory	1974	N. Th. Varopoulos	6
+ PDF Chat	Toral algebraic sets and function theory on polydisks	2006	Jim Agler John E. McCarthy Mark Stankus	6
+	Inner functions on the bidisk and associated Hilbert spaces	2013	Kelly Bickel Greg Knese	6
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon	5
+ PDF Chat	Operator monotone functions and Löwner functions of several variables	2012	Jim Agler John E. McCarthy N. J. Young	5
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon	5
+	Complete Nevanlinna–Pick Kernels	2000	Jim Agler John E. McCarthy	5
+ PDF Chat	Stable and real-zero polynomials in two variables	2014	Anatolii Grinshpan Dmitry S. Kaliuzhnyi-Verbovetskyi Victor Vinnikov Hugo J. Woerdeman	5
+ PDF Chat	Multivariate stable polynomials: theory and applications	2010	David G. Wagner	5
+	The Commutant Lifting Approach to Interpolation Problems	1990	Ciprian Foiaş A. E. Frazho	4
+ PDF Chat	A Carathéodory theorem for the bidisk via Hilbert space methods	2011	Jim Agler John E. McCarthy N. J. Young	4
+ PDF Chat	Two-variable polynomials: intersecting zeros and stability	2006	Jeffrey S. Geronimo Hugo J. Woerdeman	4
+	Multidimensional circuit synthesis and multivariable dilation theory	2010	Joseph A. Ball	4
+ PDF Chat	Fundamental Agler Decompositions	2012	Kelly Bickel	4
+	Nevanlinna-Pick interpolation on the bidisk	1999	Jim Agler John E MCarthy	4
+	Nevanlinna–Pick interpolation on distinguished varieties in the bidisk	2012	Michael T. Jury Greg Knese Scott McCullough	4
+	Unitary Colligations, Reproducing Kernel Hilbert Spaces, and Nevanlinna–Pick Interpolation in Several Variables	1998	Joseph A. Ball Tavan T. Trent	4
+ PDF Chat	Interlacing families II: Mixed characteristic polynomials and the Kadison--Singer problem	2015	Adam W. Marcus Daniel A. Spielman Nikhil Srivastava	3
+ PDF Chat	Cyclic vectors in the Dirichlet space	1984	Leon Brown Allen Shields	3
+ PDF Chat	The Pick interpolation theorem for finitely connected domains.	1979	M. B. Abrahamse	3
+	Operator Algebras of Idempotents	2001	Vern I. Paulsen	3
+	Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces	2001	Joseph A. Ball Tavan T. Trent Victor Vinnikov	3
+ PDF Chat	Möbius-invariant Hilbert spaces in polydiscs	1994	H. Turgay Kaptanoğlu	3
+	For which reproducing kernel Hilbert spaces is Pick's theorem true?	1993	Peter Philip Quiggin	3
+	Factorization of multivariate positive Laurent polynomials	2005	Jeffrey S. Geronimo Ming‐Jun Lai	3
+	A class of subnormal operators related to multiply-connected domains	1976	M. B. Abrahamse R. G. Douglas	3
+	Multipliers on Dirichlet Type Spaces	2001	Peng Yan Hu Ji Huai Shi	3
+	Norm-Constrained Determinantal Representations of Multivariable Polynomials	2012	Anatolii Grinshpan Dmitry S. Kaliuzhnyi-Verbovetskyi Hugo J. Woerdeman	3
+ PDF Chat	Generalized interpolation in 𝐻^{∞}	1967	Donald Sarason	3
+	Interpolation problems and Toeplitz operators on multiply connected domains	1981	Joseph A. Ball	3
+	Pick conditions on a uniform algebra and von Neumann inequalities	1992	Brian J. Cole Keith Lewis John Wermer	3
+	A Schwarz lemma on the polydisk	2007	Greg Knese	3
+ PDF Chat	Outer functions in function algebras on the bidisc	1988	Håakan Hedenmalm	3
+ PDF Chat	Linear matrix inequality representation of sets	2006	J. William Helton Victor Vinnikov	3
+	Lectures on Invariant Subspaces.	1968	Irving Glicksberg Henry Helson	3
+ PDF Chat	Two Variable Orthogonal Polynomials on the BiCircle and Structured Matrices	2007	Jeffrey S. Geronimo Hugo J. Woerdeman	3
+	Von Neumann's Inequality for Hilbert Space Operators	1975	M. J. Crabb A. M. Davie	3