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Joseph A. Ball

Joseph A. Ball

D-Index & Metrics

Mathematics

D-Index
38
Citations
6725
World Ranking
2325
National Ranking
984

Research.com Recognitions

  • 2019 - Fellow of the American Mathematical Society For contributions to operator theory, analytic functions, and service to the profession.

Overview

Joseph A. Ball is affiliated with Virginia Tech in the United States and specializes in the field of Mathematics, with a particular focus on Applied Mathematics, Mathematical Physics, Control and Systems Engineering, Algebra and Number Theory, and Statistics and Probability.

Their research covers several advanced topics, including:

  • Holomorphic and Operator Theory
  • Spectral Theory in Mathematical Physics
  • Advanced Operator Algebra Research
  • Algebraic and Geometric Analysis
  • Advanced Topics in Algebra
  • Random Matrices and Applications
  • Advanced Harmonic Analysis Research

Joseph A. Ball has authored significant publications across multiple venues. Recent works include:

  • Noncommutative Function-Theoretic Operator Theory and Applications, 2021, Cambridge University Press eBooks
  • Multivariable Beurling-Lax representations: the commutative and free noncommutative settings, 2022, Acta Scientiarum Mathematicarum
  • Dilation Theory and Functional Models for Tetrablock Contractions, 2023, Complex Analysis and Operator Theory
  • The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach, 2022, Complex Analysis and Operator Theory
  • Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination, 2022, Documenta Mathematica

Frequently publishing in venues such as arXiv (Cornell University), Complex Analysis and Operator Theory, Cambridge University Press eBooks, Acta Scientiarum Mathematicarum, and Documenta Mathematica, their research contributions span a variety of respected platforms.

Collaborative efforts feature prominently in their career, with frequent coauthors including Vladimir Bolotnikov, Haripada Sau, S. ter Horst, Mikael Kurula, and Gregory Marx.

Recognition for their work includes being named a Fellow of the American Mathematical Society in 2019, honored for contributions to operator theory, analytic functions, and professional service within the mathematical community.

Best Publications

  • Interpolation of Rational Matrix Functions

    Joseph A. Ball;Israel Gohberg;Leiba Rodman

  • Interpolation and Commutant Lifting for Multipliers on Reproducing Kernel Hilbert Spaces

    Joseph A. Ball;Tavan T. Trent;Victor Vinnikov

  • On the solution of the minimal rational interpolation problem

    A.C. Antoulas;J.A. Ball;J. Kang;J.C. Willems

  • Unitary Colligations, Reproducing Kernel Hilbert Spaces, and Nevanlinna–Pick Interpolation in Several Variables

    Joseph A Ball;Tavan T Trent

  • Optimal Hankel Norm model reductions and Weiner-Hopf factorization I: the canonical case

    Joseph A. Ball;C. M. Ran André

  • Structured Noncommutative Multidimensional Linear Systems

    Joseph A. Ball;Gilbert Groenewald;Tanit Malakorn

  • Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions

    Joseph A. Ball;J. William Helton

  • Age dependent electroencephalographic changes in attention-deficit/hyperactivity disorder (ADHD)

    S S Poil;S Bollmann;C Ghisleni;R L O'Gorman

  • Lax-phillips Scattering and Conservative Linear Systems: A Cuntz-algebra Multidimensional Setting

    Joseph A. Ball;Victor Vinnikov

  • Scattering Systems with Several Evolutions and Multidimensional Input/State/Output Systems

    Joseph A. Ball;Cora Sadosky;Victor Vinnikov

  • Sensitivity minimization in an H ∞ norm: parametrization of all suboptimal solutions

    Unknown

  • Conservative Structured Noncommutative Multidimensional Linear Systems

    Joseph A. Ball;Gilbert Groenewald;Tanit Malakorn

  • Nevanlinna-Pick interpolation for time-varying input-output maps: the discrete case

    J. A. Ball;I. Gohberg;M. A. Kaashoek

  • De Branges-Rovnyak Operator Models and Systems Theory: A Survey

    Joseph A. Ball;Nir Cohen

  • Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions

    Joseph A. Ball

  • Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings

    Joseph A. Ball;Victor Vinnikov

  • J-inner-outer factorization, J-spectral factorization, and robust control for nonlinear systems

    J.A. Ball;A.J. Van der Schaft

  • ZERO-POLE INTERPOLATION FOR MATRIX MEROMORPHIC FUNCTIONS ON A COMPACT RIEMANN SURFACE AND A MATRIX FAY TRISECANT IDENTITY

    Joseph A. Ball;Victor Vinnikov

  • Increased fronto-striatal reward prediction errors moderate decision making in obsessive-compulsive disorder

    T. U. Hauser;R. Iannaccone;Raymond J. Dolan;J. Ball

  • Noncommutative reproducing kernel Hilbert spaces

    Joseph A. Ball;Gregory Marx;Victor Vinnikov

  • Local inverse spectral problems for rational matrix functions

    Joseph A. Ball;André C. M. Ran

  • Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in Cn

    Joseph A. Ball;Vladimir Bolotnikov

Frequent Co-Authors

Israel Gohberg
Israel Gohberg Tel Aviv University
J. William Helton
J. William Helton University of California, San Diego
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Daniel Alpay
Daniel Alpay Chapman University
Allen Tannenbaum
Allen Tannenbaum Stony Brook University
A.J. van der Schaft
A.J. van der Schaft University of Groningen
Daniel Brandeis
Daniel Brandeis University of Zurich
Lars Michels
Lars Michels University of Zurich
Peter Klaver
Peter Klaver University of Zurich

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