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Mathematics

D-Index
35
Citations
5980
World Ranking
2747
National Ranking
1122

Overview

Jeffrey S. Geronimo is primarily affiliated with the Georgia Institute of Technology in the United States. Their research spans several fields, with a focus on Mathematics and Physics and Astronomy. In particular, Geronimo's work frequently addresses topics in Applied Mathematics, Atomic and Molecular Physics and Optics, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Geometry and Topology.

The main areas of study highlighted in Geronimo's publications include mathematical functions and polynomials, mathematical analysis and transform methods, matrix theory and algorithms, analytic and geometric function theory, nonlinear waves and solitons, electromagnetic scattering and analysis, and rheology and fluid dynamics studies.

Geronimo has contributed to the academic community through a variety of recent papers published in recognized scientific journals. Selected publications are:

  • "The autoregressive filter problem for multivariable degree one symmetric polynomials" (2023), Acta Scientiarum Mathematicarum
  • "Spectral density functions of bivariable stable polynomials" (2021), The Ramanujan Journal
  • "Combined time-pressure gradient and electric field on the electroosmotic flow of a complex fluid (human blood data) in a concentric annular microchannel: Linear and non-linear cases with the exponential structure rheological constitutive equation" (2025), International Journal of Non-Linear Mechanics
  • "Connection coefficients for ultraspherical polynomials with argument doubling and generalized bispectrality" (2023), Journal d Analyse Mathématique
  • "The Fourier extension method and discrete orthogonal polynomials on an arc of the circle" (2020), Advances in Mathematics

Many of these papers involve collaboration with fellow researchers. Geronimo's frequent coauthors include Hugo J. Woerdeman, Chung Y. Wong, Maxim Derevyagin, Plamen Iliev, and E. E. Herrera-Valencia.

Their research has appeared repeatedly in notable venues such as arXiv (Cornell University), International Journal of Non-Linear Mechanics, Acta Scientiarum Mathematicarum, The Ramanujan Journal, and Journal d Analyse Mathématique.

Best Publications

  • Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

    J.S. Geronimo;D.P. Hardin;P.R. Massopust

  • Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

    George Donovan;Jeffrey Stephen Geronimo;Douglas P. Hardin;Peter R. Massopust

  • Design of prefilters for discrete multiwavelet transforms

    X.-G. Xia;J.S. Geronimo;D.P. Hardin;B.W. Suter

  • Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

    M. F. Barnsley;S. G. Demko;J. H. Elton;J. S. Geronimo

  • SCATTERING THEORY AND POLYNOMIALS ORTHOGONAL ON THE REAL LINE

    J. S. Geronimo;K. M. Case

  • Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets

    George C. Donovan;Jeffrey S. Geronimo;Douglas P. Hardin

  • Scattering theory and polynomials orthogonal on the unit circle

    J. S. Geronimo;K. M. Case

  • Riemann-Hilbert Problems for Multiple Orthogonal Polynomials

    Walter Van Assche;Jeffrey S. Geronimo;Arno B. J. Kuijlaars

  • ORTHOGONAL POLYNOMIALS ON SEVERAL INTERVALS VIA A POLYNOMIAL MAPPING

    J. S. Geronimo;W. Van Assche

  • Scattering Theory and Matrix Orthogonal Polynomials on the Real Line

    J. S. Geronimo

  • Orthogonal polynomials with asymptotically periodic recurrence coefficients

    J S Geronimo;W van Assche

  • Fractal Interpolation Surfaces and a Related 2-D Multiresolution Analysis

    J.S. Geronimo;D. Hardin

  • Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets

    G. C. Dnovan;J. S. Geronimo;D. P. Hardin

  • Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform

    Jeffrey S. Geronimo;Theodore P. Hill

  • Positive extensions, Fejér-Riesz factorization and autoregressive filters in two variables

    Jeffrey S. Geronimo;Hugo J. Woerdeman

  • Bispectrality of Multivariable Racah–Wilson Polynomials

    Jeffrey S. Geronimo;Plamen Iliev

  • Meblin transforms associated with Julia sets and physical applications

    D. Bessis;J. S. Geronimo;P. Moussa

  • Algebro-Geometric Solutions of the Baxter–Szegő Difference Equation

    Jeffrey S. Geronimo;Fritz Gesztesy;Helge Holden

  • Matrix orthogonal polynomials on the unit circle

    Jeffrey S. Geronimo

  • Orthogonal polynomials associated with invariant measures on Julia sets

    M. F. Barnsley;J. S. Geronimo;A. N. Harrington

Frequent Co-Authors

Douglas P. Hardin
Douglas P. Hardin Vanderbilt University
Michael F. Barnsley
Michael F. Barnsley Australian National University
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Michael Loss
Michael Loss Georgia Institute of Technology
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Xiang-Gen Xia
Xiang-Gen Xia University of Delaware
Fritz Gesztesy
Fritz Gesztesy Baylor University

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