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Mathematics

D-Index
41
Citations
8104
World Ranking
1889
National Ranking
804

Research.com Recognitions

  • 1985 - Fellow of Alfred P. Sloan Foundation

Overview

Richard Beals is affiliated with Yale University in the United States and has contributed extensively to the fields of mathematics, physics, and chemistry. Their research spans 52 publications in mathematics, 7 in physics and astronomy, and 3 in chemistry. Within mathematics, their work focuses on applied mathematics, geometry and topology, mathematical physics, statistical and nonlinear physics, and algebra and number theory.

The main topics covered in Richard Beals's work include:

  • Algebraic and Geometric Analysis
  • Analytic and geometric function theory
  • Holomorphic and Operator Theory
  • Mathematics and Applications
  • Advanced mathematical theories
  • Meromorphic and Entire Functions
  • Nonlinear Waves and Solitons

Richard Beals has published notable recent papers including:

  • "The TRACERS Analyzer for Cusp Electrons" (2025) in Space Science Reviews
  • "A 2-component Camassa-Holm Equation, Euler-Bernoulli Beam Problem, and Noncommutative Continued Fractions" (2022) in Communications on Pure and Applied Mathematics
  • "A 2-component Camassa-Holm equation, Euler-Bernoulli Beam Problem and Non-Commutative Continued Fractions" (2020) on arXiv (Cornell University)

Frequent coauthors collaborating with Richard Beals include:

  • Roderick Wong
  • Jacek Szmigielski
  • J. S. Halekas
  • Christian T. Hansen
  • S. Ruhunusiri

Richard Beals has also published books through Springer Nature, including:

  • Explorations in Complex Functions (2020)
  • More Explorations in Complex Functions (2023)

Frequent publication venues for their work encompass:

  • Space Science Reviews
  • Communications on Pure and Applied Mathematics
  • arXiv (Cornell University)

Richard Beals received the Fellow of Alfred P. Sloan Foundation award in 1985.

Best Publications

  • Scattering and inverse scattering for first order systems

    R. Beals;R. R. Coifman

  • Direct and inverse scattering on the line

    Richard Beals;Percy Deift;Carlos Tomei;Carlos Tomei

  • Calculus on Heisenberg manifolds

    Richard Beals;Peter Charles Greiner

  • Multi-peakons and a theorem of Stieltjes

    R Beals;D H Sattinger;J Szmigielski

  • Multipeakons and the Classical Moment Problem

    Richard Beals;David H. Sattinger;Jacek Szmigielski

  • Foundations of multidimensional scaling.

    Richard Beals;David H. Krantz;Amos Tversky

  • Hamilton–Jacobi theory and the heat kernel on Heisenberg groups

    Richard Beals;Bernard Gaveau;Peter C Greiner

  • Multipeakons and a theorem of Stieltjes

    R. Beals;D. H. Sattinger;J. Szmigielski

  • Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy

    R. Beals;D.H. Sattinger;J. Szmigielski

  • Linear spectral problems, non-linear equations and the δ-method

    R Beals;R R Coifman

  • Analysis: An Introduction

    Richard Beals

  • On Local Solvability of Linear Partial Differential Equations

    Richard Beals;Charles Fefferman

  • Abstract time-dependent transport equations☆

    R Beals;V Protopopescu

  • Inverse scattering and evolution equations

    R. Beals;R. R. Coifman

  • Inverse scattering solutions of the hunter-saxton equation

    Richard Beals;David H. Sattinger;Jacek Szmigielski

  • Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations

    Richard Beals;Richard Beals;Mauro Rabelo;Mauro Rabelo;Keti Tenenblat;Keti Tenenblat

  • Indefinite Sturm-Liouville problems and half-range completeness

    Richard Beals

  • The Green Function of Model Step Two Hypoelliptic Operators and the Analysis of Certain Tangential Cauchy Riemann Complexes

    Richard Beals;Bernard Gaveau;Peter Greiner

  • The D -bar approach to inverse scattering and nonlinear evolutions

    R Beals;R R Coifman

  • Spatially inhomogeneous pseudodifferential operators, I

    Richard Beals

  • Acoustic Scattering and the Extended Korteweg deVries hierarchy

    R. Beals;D.H. Sattinger;J. Szmigielski

Frequent Co-Authors

Mark J. Ablowitz
Mark J. Ablowitz University of Colorado Boulder
Percy Deift
Percy Deift Courant Institute of Mathematical Sciences
Charles Fefferman
Charles Fefferman Princeton University
Ronald R. Coifman
Ronald R. Coifman Yale University
Amos Tversky
Amos Tversky Stanford University
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Jean Mawhin
Jean Mawhin Université Catholique de Louvain
Henri Berestycki
Henri Berestycki Centre d'Analyse et de Mathématique Sociales

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