Jim Agler | Academic Influence

Jim Agler's AcademicInfluence.com Rankings

Jim Agler

Mathematics

#7395

World Rank

#10064

Historical Rank

Measure Theory

#3375

World Rank

#3986

Historical Rank

mathematics Degrees

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Mathematics

Jim Agler's Degrees

PhD Mathematics University of California, San Diego
Bachelors Mathematics University of California, San Diego

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Why Is Jim Agler Influential?

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According to Wikipedia, Jim Agler is a mathematician who is an emeritus professor at the University of California, San Diego. He is a fellow of the American Mathematical Society since 2016, for "contributions to operator theory and the theory of analytic functions of several complex variables".

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Jim Agler's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Pick Interpolation and Hilbert Function Spaces (2002) (580)
m-Isometric transformations of Hilbert space, I (1995) (241)
Nevanlinna-Pick interpolation on the bidisk (1999) (138)
The Arveson Extension Theorem and coanalytic models (1982) (129)
The hyperbolic geometry of the symmetrized bidisc (2004) (129)
A Commutant Lifting Theorem for a Domain in C2and Spectral Interpolation (1999) (126)
Positive semidefinite matrices with a given sparsity pattern (1988) (126)
Distinguished varieties (2005) (107)
A model theory for Γ-contractions (2003) (93)
A DISCONJUGACY THEOREM FOR TOEPLITZ OPERATORS (1990) (84)
Operator monotone functions and L\"owner functions of several variables (2010) (83)
Global Holomorphic Functions in Several Noncommuting Variables (2015) (81)
m-Isometric transformations of hilbert space, III (1996) (80)
m-isometric transformations of Hilbert space,II (1995) (80)
Rational dilation on an annulus (1985) (75)
Classical Function Theory, Operator Dilation Theory, and Machine Computation on Multiply-Connected Domains (2007) (69)
Pick Interpolation for free holomorphic functions (2013) (66)
A Carathéodory theorem for the bidisk via Hilbert space methods (2010) (63)
Norm preserving extensions of holomorphic functions from subvarieties of the bidisk (2004) (61)
The two-point spectral Nevanlinna-Pick problem (2000) (54)
A Schwarz Lemma for the Symmetrized Bidisc (2001) (53)
The two-by-two spectral Nevanlinna-Pick problem (2003) (53)
Operators having the symmetrized bidisc as a spectral set (2000) (52)
The implicit function theorem and free algebraic sets (2014) (51)
Nevanlinna representations in several variables (2012) (49)
Nevanlinna-Pick interpolation on Sobolev space (1990) (37)
Toral algebraic sets and function theory on polydisks (2005) (37)
Extremal holomorphic maps and the symmetrized bidisc (2012) (36)
Boundary behavior of analytic functions of two variables via generalized models (2012) (35)
Realization of functions on the symmetrized bidisc (2017) (34)
Symmetric functions of two noncommuting variables (2013) (33)
Operator theory and the Oka extension theorem (2012) (31)
Non-commutative holomorphic functions on operator domains (2015) (31)
On the Representation of Holomorphic Functions on Polyhedra (2011) (28)
Facial behaviour of analytic functions on the bidisc (2010) (28)
Global Holomorphic Functions in Several Non-Commuting Variables II (2013) (27)
THE COMPLEX GEODESICS OF THE SYMMETRIZED BIDISC (2006) (24)
Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc (2016) (23)
CLASSIFICATION OF HEREDITARY MATRICES (1998) (23)
Existence of Stark ladder resonances (1985) (22)
The Three Point Pick Problem on the Bidisk (2016) (22)
Non-commutative functional calculus (2019) (21)
Wandering Montel Theorems for Hilbert Space Valued Holomorphic Functions (2017) (21)
Operator Analysis (2020) (20)
Operator theory and the Carathéodory metric (1990) (19)
Algebraic pairs of isometries (2009) (17)
The complex geometry of a domain related to μ-synthesis (2014) (17)
A Case of μ-Synthesis as a Quadratic Semidefinite Program (2013) (15)
An invariant subspace theorem (1979) (14)
3-Extremal Holomorphic Maps and the Symmetrized Bidisc (2013) (13)
Interpolating Sequences on the Bidisk (2001) (13)
Hyperbolic Algebraic and Analytic Curves (2006) (13)
Aspects of non-commutative function theory (2015) (12)
Local geometry of zero sets of holomorphic functions near the torus (2008) (11)
Algebraic and geometric aspects of rational $\Gamma$-inner functions (2015) (10)
Realization of functions into the symmetrised bidisc (2003) (10)
Parametrizing distinguished varieties (2005) (10)
What Can Hilbert Spaces Tell Us About Bounded Functions in the Bidisk (2010) (10)
Functions Which are Almost Multipliers of Hilbert Function Spaces (1996) (9)
A geometric characterization of the symmetrized bidisc (2019) (8)
Erratum to: “Distinguished varieties” (2010) (8)
Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions (2011) (7)
Spectral pictures of operators quasisimilar to the unilateral shift. (1991) (7)
Boundary Nevanlinna–Pick interpolation via reduction and augmentation (2009) (7)
Finite Blaschke products and the construction of rational Γ-inner functions ☆ (2015) (6)
Nevanlinna-Pick Kernels and Localization (2016) (6)
OPERATORS THAT DOMINATE NORMAL OPERATORS (1998) (6)
Corrigendum to: Operator monotone functions and Lowner functions of several variables (2014) (5)
Non‐commutative manifolds, the free square root and symmetric functions in two non‐commuting variables (2018) (5)
Cusp Algebras (2007) (4)
A converse to a theorem of Adamyan, Arov and Krein (1999) (4)
A generalization of Hardy’s operator and an asymptotic Müntz-Szász Theorem (2022) (4)
Characterizations of Some Domains via Carathéodory Extremals (2018) (3)
The Takagi problem on the disk and bidisk (2012) (3)
Pseudo-Taylor expansions and the Carath\'{e}odory-Fej\'{e}r problem (2011) (3)
The boundary Carathéodory–Fejér interpolation problem (2010) (3)
Monomial operators (2022) (3)
Intrinsic Directions, Orthogonality, and Distinguished Geodesics in the Symmetrized Bidisc (2020) (2)
Beurling’s theorem for the Hardy operator on $$L^2[0,1]$$ (2022) (2)
What Hilbert spaces can tell us about bounded functions on the bidisk (2009) (2)
A Carathéodory theorem for the bidisk via Hilbert space methods (2011) (2)
The boundary Carath\'{e}odory-Fej\'{e}r interpolation problem (2010) (2)
A model theory for $\Gamma$-contractions (2003) (2)
Carath\'eodory extremal functions on the symmetrized bidisc (2017) (2)
Non-commutative Functional Calculus and Spectral Theory (2015) (1)
The use of kernel functions in solving the Pick interpolation problem (2014) (1)
Norm Preserving Extensions of Holomorphic Functions Defined on Varieties in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> (2022) (1)
The Krzyż Conjecture and an Entropy Conjecture (2018) (1)
3-Extremal Holomorphic Maps and the Symmetrized Bidisc (2014) (0)
Qualitative properties of the solution of the Pick problem in (2002) (0)
Norm Preserving Extensions of Holomorphic Functions Defined on Varieties in ${\mathbb C}^n$ (2022) (0)
The Hardy-Weyl algebra (2022) (0)
Characterizations of Some Domains via Carathéodory Extremals (2018) (0)
Math 220A Homework 6 Solutions (2013) (0)
Erratum to: Boundary Nevanlinna–Pick interpolation via reduction and augmentation (2011) (0)
The Origins of Operator-Theoretic Approaches to Function Theory (2020) (0)
Characterizing kernels with the complete Pick property (2002) (0)
N ov 2 00 6 Hyperbolic Algebraic and Analytic Curves (2008) (0)
Collections of kernels (2002) (0)
Bounded analytic functions on the polydisc (2011) (0)
Complete Norm-Preserving Extensions of Holomorphic Functions (2022) (0)
Prerequisites and notation (2002) (0)
A computational investigation of spectral sets and rational dilations over multiply-connected domains (2002) (0)
Model theory II: Function spaces (2002) (0)
The universal Pick kernel (2002) (0)
The extremal three point problem on (2002) (0)
Operator monotone functions and L (2010) (0)
RESEARCH ANNOUNCEMENTS AN INVARIANT SUBSPACE THEOREM (2007) (0)
Non-commutative holomorphic functions on operator domains (2015) (0)
Pseudo-Taylor expansions and the Carathéodory-Fejér problem (2012) (0)
Kernels and function spaces (2002) (0)
The Carathéodory-Julia Theorem and the Network Realization Formula in Two Variables (2012) (0)
Non-commutative functional calculus (2019) (0)
Nonuniqueness of Carathéodory Extremal Functions on the Symmetrized Bidisc (2022) (0)
The spectral theorem for normal -tuples (2002) (0)
POWER OF m-PARTIAL ISOMETRIES ON HILBERT SPACES (COMMUNICATED BY S. MECHERI) (2014) (0)
Calcular algebras (2019) (0)
Model theory I: Isometries (2002) (0)
A pr 2 00 5 Distinguished Varieties (2005) (0)
A Hilbert space approach to singularities of functions (2022) (0)

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