Richard Beals

Q: What Schools Are Affiliated With Richard Beals

Richard Beals is affiliated with the following schools: Yale University, Princeton University, University of Chicago

Richard Beals 's AcademicInfluence.com Rankings

Richard Beals

Mathematics

#1557

World Rank

#2532

Historical Rank

#635

USA Rank

Measure Theory

#1791

World Rank

#2195

Historical Rank

#566

USA Rank

mathematics Degrees

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Mathematics

Richard Beals 's Degrees

PhD Mathematics Princeton University

Why Is Richard Beals Influential?

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According to Wikipedia, Richard William Beals is an American mathematician who works on partial differential equations and functional analysis. He is known as the author or co-author of several mathematical textbooks. Beals studied at Yale University earning a B.A. in 1960, an M.A. in 1962, and a Ph.D. in 1964 under Felix Browder with thesis Non-Local Boundary Value Problems for Elliptic Partial Differential Operators. In the academic year 1965/1966 he was a visiting assistant professor at the University of Chicago, where he became in 1966 an assistant professor and later a professor. In 1977 he became a professor at Yale University.

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Richard Beals '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

Scattering and inverse scattering for first order systems (1984) (542)
Direct and inverse scattering on the line (1988) (296)
Multipeakons and the Classical Moment Problem (1999) (267)
Multi-peakons and a theorem of Stieltjes (1999) (245)
Calculus on Heisenberg manifolds (1988) (235)
Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy (1998) (228)
Hamilton–Jacobi theory and the heat kernel on Heisenberg groups (2000) (203)
On Local Solvability of Linear Partial Differential Equations (1973) (183)
Abstract time-dependent transport equations☆ (1987) (149)
Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations (1989) (136)
Linear spectral problems, non-linear equations and the ∂-method (1989) (135)
Inverse scattering and evolution equations (1985) (132)
Variational solutions of some nonlinear free boundary problems (1971) (129)
Indefinite Sturm-Liouville problems and half-range completeness (1985) (120)
Inverse scattering solutions of the hunter-saxton equation (2001) (114)
The Green Function of Model Step Two Hypoelliptic Operators and the Analysis of Certain Tangential Cauchy Riemann Complexes (1996) (113)
The D -bar approach to inverse scattering and nonlinear evolutions (1986) (94)
The heat equation on a CR manifold (1984) (93)
An abstract treatment of some forward-backward problems of transport and scattering (1979) (90)
Meijer G-functions: a gentle introduction (2013) (81)
Scattering and inverse scattering for first-order systems: II (1987) (77)
Calculus on Heisenberg Manifolds. (AM-119), Volume 119 (1988) (74)
Maximizing Stationary Utility in a Constant Technology (1969) (70)
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians, III (1997) (67)
Half-range completeness for the Fokker-Planck equation (1983) (63)
On the solution of the generalized wave and generalized spine-gordon equations (1986) (53)
Partial‐range completeness and existence of solutions to two‐way diffusion equations (1981) (48)
On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians (2009) (46)
A Note on fundamental solutions (1999) (41)
On the complete integrability of completely integrable systems (1991) (36)
Lp and Lipschitz estimates for the $$\bar \partial $$ -equation and the $$\bar \partial $$ -Neumann problem (1987) (34)
I. Introduction (1973) (32)
The Laguerre Calculus on the Heisenberg Group (1984) (32)
Nonlocal elliptic boundary value problems (1964) (32)
Peakons, Strings, and the Finite Toda Lattice (2001) (31)
Green's Functions for Some Highly Degenerate Elliptic Operators (1999) (31)
Conference on Modern Analysis and Probability (1984) (30)
Non-Local Boundary Value Problems for Elliptic Operators (1965) (25)
Models of Rotating Stars (1971) (25)
The Heat Equation for the -Neumann Problem, II (1988) (25)
Metrics and geodesics induced by order relations (1967) (25)
The string density problem and the Camassa–Holm equation (2007) (24)
The Inverse Scattering Transform on the Line (1993) (22)
Advanced mathematical analysis : periodic functions and distributions, complex analysis, Laplace transform and applications (1973) (21)
CLASSES OF COMPACT OPERATORS AND EIGENVALUE DISTRIBUTIONS FOR ELLIPTIC OPERATORS. (1967) (19)
Constructively Factoring Linear Partial Differential Operators in Two Variables (2005) (18)
Inverse Scattering and the Bäcklund Transformation for the Generalized Wave and Generalized Sine‐Gordon Equations (1988) (18)
Uniforms hypoelliptic Green's functions (1998) (17)
Exact fundamental solutions for a class of degenerate elliptic operators (1999) (15)
Integrable systems and isomonodromy deformations (1993) (14)
On The Asymptotic Equivalence of the Fokker-Planck and Diffusion Equations (1983) (12)
The inverse boundary problem for the Rayleigh system (1995) (11)
On eigenvalue distributions for elliptic operators without smooth coefficients. II (1966) (10)
Constructive factorization of LPDO in two variables (2005) (9)
A Dirac sea and thermodynamic equilibrium for the quantized three-wave interaction (1998) (9)
PERIODIC PEAKONS AND CALOGERO–FRANÇOISE FLOWS (2005) (8)
A note on the adjoint of a perturbed operator (1964) (7)
Transversally elliptic operators (2004) (7)
Exact solutions and branching of singularities for some hyperbolic equations in two variables (2009) (7)
On spectral theory and scattering for elliptic operators with singular potentials. (1971) (7)
Inverse scattering for self-adjoint nth order differential operators on the line (1987) (6)
Erratum to “Green's functions for some highly degenerate elliptic operators” (2003) (6)
The inverse problem (1988) (6)
The heat equation and geometry of $\text{CR}$ manifolds (1984) (6)
Half range completeness and orthogonality for the Fokker-Planck equation with general boundary conditions. II (1984) (6)
Erratum: Partial‐range completeness and existence of solutions to two‐way diffusion equations [J. Math. Phys. 22, 954 (1981)] (1983) (6)
Exact propagators for some degenerate hyperbolic operators (2006) (5)
Exact fundamental solutions (1998) (5)
Continued fractions and integrable systems (2003) (5)
Calogero–FranÇoise Flows and Periodic Peakons (2002) (5)
Constructing solutions to two-way diffusion problems (2018) (4)
The foundations of ordinal factor analysis: affine and spherical geometries induced by a collection of weak orders (1993) (4)
Approximate identities from Laguerre functions and singular integrals on the Heisenberg group (2003) (4)
STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS (2009) (4)
Solutions fondamentales exactes@@@Exact fundamental solutions (1998) (3)
Global asymptotic estimates for elliptic spectral functions and eigenvalues (1968) (3)
Mixed boundary value problems for nonstrict hyperbolic equations (1972) (3)
Estimates on kernels for the $$\bar \partial $$ -equation and the $$\bar \partial $$ -Neumann problem (1991) (3)
Addenda and Corrigenda to “On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations” (1987) (3)
The heat equation and geometry for the $$\bar \partial$$-Neumann problem (1987) (3)
Scattering and inverse scatering for first-order systems (1998) (3)
Velocity Resolution And Salt Boundary Placement In Subsalt Imaging (1999) (3)
On Green’s functions for subelliptic operators (2000) (2)
CORRECTION TO "CLASSES OF COMPACT OPERATORS AND EIGENVALUE DISTRIBUTIONS FOR ELLIPTIC OPERATORS." (1969) (2)
Inverse Laplace transforms of products of Whittaker functions (2008) (2)
Action-angle variables for the Gel'fand-Dikii flows (1992) (2)
A Functional Calculus on the Heisenberg Group and the Boundary Layer Potential □−1+for the ∂-Neumann Problem (1998) (2)
Scattering on the line — an overview (1988) (2)
On eigenfunction expansions for elliptic operators (1967) (1)
Velocity Resolution And Salt Boundary Placement In Subsalt Imaging: Part 2. (1998) (1)
On Exact Solutions of Linear PDEs (2003) (1)
A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions (2020) (1)
On nontrivial interactions and complete integrability of soliton equations (1991) (1)
Subelliptic geometry and fundamental solutions (1997) (1)
Review: François Treves, Basic linear partial differential equations (1977) (1)
List of Notation (1988) (0)
Chapter 2. Inverting the Model Operator (1988) (0)
The inverse scattering transforms on the line (1993) (0)
The Scope of the Power Series Method (2013) (0)
Chapter 1. The Model Operators (1988) (0)
Nonelliptic problems and complex analysis (1988) (0)
The Heat Equation for the % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaa (1986) (0)
Measure Theory and Filtering: Introduc- Tion and Applications. by Lakhdar Aggoun And (0)
Book Review. Handbooks of mathematical Functions, versions 1.0 and 2.0 (2011) (0)
New differential equations in the mKdV hierarchy (1992) (0)
The forward problem (1988) (0)
Index of Terminology (1988) (0)
Chapter 3. Pseudodifferential Operators on Heisenberg Manifolds (1988) (0)
From isolated but distinguished contributions by Felix Pollaczek and A. Ya. Khinchin in the thirties and forties, the theory of queues emerged as a subdiscipline of probability theory during the years 1950-1960. Its growth (2007) (0)
Chapter 4. Application to the ∂̅b - Complex (1988) (0)
Review: Alexander Nagel and E. M. Stein, Lectures on pseudo-differential operators: Regularity Theorems and applications to non-elliptic problems (1980) (0)
The Inverse Scattering Method and Systems of Equations qxy = F(q, qy) (1994) (0)
The Heat Equation for the a-Neumann Problem on Strictly Pseudoconvex Domains * (1986) (0)
Non-local boundary value problems for elliptic partial differential operators (1971) (0)

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What Schools Are Affiliated With Richard Beals ?

Richard Beals is affiliated with the following schools:

Richard Beals 's Academic­Influence.com Rankings