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- Richard Beals

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
38
Citations
7,010
146
World Ranking
1558
National Ranking
693

1985 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Algebra
- Complex number

Richard Beals mainly focuses on Mathematical physics, Mathematical analysis, Scattering, Inverse scattering problem and Partial differential equation. His Mathematical physics study incorporates themes from Hamiltonian mechanics, Hamilton–Jacobi equation, Heisenberg group, Heat equation and Lie algebra. His study deals with a combination of Mathematical analysis and Value.

His Scattering study integrates concerns from other disciplines, such as Inverse, Closed-form expression, Special case, Real line and Peakon. His Inverse scattering problem study deals with the bigger picture of Inverse problem. His Partial differential equation study combines topics from a wide range of disciplines, such as Geometry, Surface and Fundamental Resolution Equation.

- Scattering and inverse scattering for first order systems (446 citations)
- Multipeakons and the Classical Moment Problem (248 citations)
- Multi-peakons and a theorem of Stieltjes (246 citations)

His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Mathematical physics, Inverse scattering problem and Scattering. His work investigates the relationship between Mathematical analysis and topics such as Degenerate energy levels that intersect with problems in Elliptic operator. His work deals with themes such as Function and Elliptic function, which intersect with Pure mathematics.

The Mathematical physics study combines topics in areas such as Inverse and Sine. His Inverse scattering problem research incorporates themes from Partial differential equation and Nonlinear system. His study in the field of Scattering theory is also linked to topics like Action-angle coordinates.

- Mathematical analysis (43.79%)
- Pure mathematics (34.64%)
- Mathematical physics (20.92%)

- Pure mathematics (34.64%)
- Orthogonal polynomials (5.88%)
- Jacobi polynomials (5.23%)

Richard Beals mainly investigates Pure mathematics, Orthogonal polynomials, Jacobi polynomials, Classical orthogonal polynomials and Gegenbauer polynomials. His Pure mathematics research is multidisciplinary, relying on both Elliptic function, Conformal map and Fourier transform. His Elliptic function study combines topics in areas such as Connection, Jacobi elliptic functions, Upper half-plane and Trigonometric functions.

His Fourier transform study deals with Entire function intersecting with Bounded function and Boundary. The various areas that Richard Beals examines in his Orthogonal polynomials study include Confluent hypergeometric function, Special functions, Algebra and Generalized hypergeometric function. Richard Beals interconnects Wilson polynomials and Discrete orthogonal polynomials in the investigation of issues within Gegenbauer polynomials.

- Special Functions and Orthogonal Polynomials (27 citations)
- Constructing solutions to two-way diffusion problems (1 citations)
- The Schwarzian derivative (1 citations)

- Mathematical analysis
- Algebra
- Complex number

His main research concerns Pure mathematics, Hypergeometric function, Convolution, Wiener–Hopf method and Fourier transform. His Pure mathematics research incorporates themes from Line, Mathematical problem and Assertion. His studies deal with areas such as Special functions, Askey–Wilson polynomials and Orthogonal polynomials as well as Hypergeometric function.

His research ties Of the form and Convolution together.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Scattering and inverse scattering for first order systems

R. Beals;R. R. Coifman.

Communications on Pure and Applied Mathematics **(1984)**

624 Citations

Scattering and inverse scattering for first order systems

R. Beals;R. R. Coifman.

Communications on Pure and Applied Mathematics **(1984)**

624 Citations

Direct and inverse scattering on the line

Richard Beals;Percy Deift;Carlos Tomei;Carlos Tomei.

**(1988)**

402 Citations

Direct and inverse scattering on the line

Richard Beals;Percy Deift;Carlos Tomei;Carlos Tomei.

**(1988)**

402 Citations

Calculus on Heisenberg manifolds

Richard Beals;Peter Charles Greiner.

**(1988)**

316 Citations

Calculus on Heisenberg manifolds

Richard Beals;Peter Charles Greiner.

**(1988)**

316 Citations

Multi-peakons and a theorem of Stieltjes

R Beals;D H Sattinger;J Szmigielski.

Inverse Problems **(1999)**

300 Citations

Multi-peakons and a theorem of Stieltjes

R Beals;D H Sattinger;J Szmigielski.

Inverse Problems **(1999)**

300 Citations

Foundations of multidimensional scaling.

Richard Beals;David H. Krantz;Amos Tversky.

Psychological Review **(1968)**

293 Citations

Foundations of multidimensional scaling.

Richard Beals;David H. Krantz;Amos Tversky.

Psychological Review **(1968)**

293 Citations

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