What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Pure mathematics
His primary areas of study are Mathematical analysis, Pure mathematics, Discrete Fourier transform, Fourier transform and Fractional Fourier transform.
His research on Mathematical analysis often connects related topics like Dirichlet eigenvalue.
His work in the fields of Pure mathematics, such as Plurisubharmonic function, Pluripolar set, Analytic function and Non-analytic smooth function, overlaps with other areas such as Boundary values.
His Discrete Fourier transform research integrates issues from Fourier sine and cosine series, Fourier shell correlation, Fourier analysis, Fourier transform on finite groups and Discrete-time Fourier transform.
His Fourier transform study incorporates themes from Interpolation, Partial differential equation and Harmonic analysis.
His most cited work include:
- A new capacity for plurisubharmonic functions (788 citations)
- The dirichlet problem for a complex Monge-Ampère equation (600 citations)
- Ultradifferentiable functions and Fourier analysis (231 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Discrete mathematics, Analytic function and Combinatorics.
Constant coefficients, Fourier analysis, Entire function, Monge–Ampère equation and Fourier transform are the subjects of his Mathematical analysis studies.
His Monge–Ampère equation research includes elements of Dirichlet's energy, Dirichlet's principle and Dirichlet boundary condition.
His Pure mathematics research incorporates elements of Bounded function and Partial differential operator.
His work on Open set as part of general Combinatorics study is frequently linked to Matrix analytic method, therefore connecting diverse disciplines of science.
B. A. Taylor has researched Fourier sine and cosine series in several fields, including Fourier transform on finite groups, Discrete-time Fourier transform and Fourier shell correlation.
He most often published in these fields:
- Mathematical analysis (45.68%)
- Pure mathematics (29.63%)
- Discrete mathematics (19.75%)
What were the highlights of his more recent work (between 1999-2011)?
- Mathematical analysis (45.68%)
- Phragmén–Lindelöf principle (13.58%)
- Characterization (11.11%)
In recent papers he was focusing on the following fields of study:
B. A. Taylor spends much of his time researching Mathematical analysis, Phragmén–Lindelöf principle, Characterization, Constant coefficients and Discrete mathematics.
In general Mathematical analysis, his work in Differential operator and Limit is often linked to Perturbation and Homogeneous polynomial linking many areas of study.
The study incorporates disciplines such as Algebraic surface and Plurisubharmonic function, Pure mathematics in addition to Phragmén–Lindelöf principle.
His studies deal with areas such as First-order partial differential equation, Inverse and Applied mathematics as well as Characterization.
His work deals with themes such as Analytic function and Partial derivative, which intersect with Constant coefficients.
He has included themes like Function field of an algebraic variety and Dimension of an algebraic variety in his Discrete mathematics study.
Between 1999 and 2011, his most popular works were:
- The geometry of analytic varieties satisfying the local Phragmén-Lindelöf condition and a geometric characterization of the partial differential operators that are surjective on {}({ℝ}⁴) (25 citations)
- Higher Order Tangents to Analytic Varieties along Curves. II (10 citations)
- Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes (10 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
The scientist’s investigation covers issues in Mathematical analysis, Characterization, Constant coefficients, First-order partial differential equation and Applied mathematics.
His work on Variety expands to the thematically related Mathematical analysis.
The concepts of his Variety study are interwoven with issues in Zero, Algebraic variety, Finite set, Limit and Function.
By researching both Function and Algebraic geometry and analytic geometry, B. A. Taylor produces research that crosses academic boundaries.
His Multiplication operator study combines topics from a wide range of disciplines, such as Gevrey class and Differential operator, Semi-elliptic operator.
B. A. Taylor interconnects Analytic function, Phragmén–Lindelöf principle, Geometry, Surjective function and Space in the investigation of issues within Partial derivative.
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