What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Topology
His primary areas of study are Mathematical analysis, Discrete mathematics, Fractal, Multiresolution analysis and Bounded function.
His research on Mathematical analysis frequently links to adjacent areas such as Orthogonal wavelet.
His work in the fields of Discrete mathematics, such as Real-valued function, overlaps with other areas such as Lp space.
His Fractal research incorporates elements of Integer and Interpolation.
Douglas P. Hardin interconnects Function, Approximation theory and Control theory, Finite impulse response in the investigation of issues within Multiresolution analysis.
His biological study deals with issues like Probleme inverse, which deal with fields such as Pure mathematics, Collage theorem and Contraction mapping.
His most cited work include:
- A comprehensive evaluation of multicategory classification methods for microarray gene expression cancer diagnosis (713 citations)
- Fractal Functions and Wavelet Expansions Based on Several Scaling Functions (562 citations)
- Recurrent iterated function systems (300 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Energy, Mathematical analysis, Discrete mathematics, Combinatorics and Pure mathematics.
His study on Mathematical analysis is mostly dedicated to connecting different topics, such as Multiresolution analysis.
Douglas P. Hardin combines subjects such as Linear programming, Wavelet and Dimension with his study of Discrete mathematics.
He has included themes like Algorithm, Piecewise and Scaling in his Wavelet study.
His research in Combinatorics intersects with topics in Distribution and Bounded function.
Specifically, his work in Pure mathematics is concerned with the study of Manifold.
He most often published in these fields:
- Energy (28.50%)
- Mathematical analysis (25.39%)
- Discrete mathematics (23.83%)
What were the highlights of his more recent work (between 2016-2021)?
- Energy (28.50%)
- Discrete mathematics (23.83%)
- Linear programming (8.29%)
In recent papers he was focusing on the following fields of study:
Douglas P. Hardin mainly focuses on Energy, Discrete mathematics, Linear programming, Combinatorics and Pure mathematics.
Among his Energy studies, there is a synthesis of other scientific areas such as Compact space, Mathematical analysis, Point, Unit sphere and Kernel.
His study in the field of Measure and Elliptic partial differential equation also crosses realms of External field, Moment and Magnetostatics.
Douglas P. Hardin works mostly in the field of Discrete mathematics, limiting it down to topics relating to Monotone polygon and, in certain cases, Cardinality.
His Combinatorics study combines topics in areas such as Class, Chebyshev filter, Distribution and Spiral.
His Pure mathematics research integrates issues from Lattice, Wavelet and Invariant.
Between 2016 and 2021, his most popular works were:
- Discrete Energy on Rectifiable Sets (30 citations)
- A Sharp Balian-Low Uncertainty Principle for Shift-Invariant Spaces (10 citations)
- Optimal discrete measures for Riesz potentials (10 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Topology
His primary scientific interests are in Energy, Pure mathematics, Discrete mathematics, Combinatorics and Kernel.
Douglas P. Hardin connects Energy with Mathematical analysis in his study.
His work on Compact space and Modular form as part of general Pure mathematics research is frequently linked to Eigenfunction and Modular design, thereby connecting diverse disciplines of science.
His work deals with themes such as Completeness, Boundary and Uniqueness, which intersect with Compact space.
As a member of one scientific family, he mostly works in the field of Discrete mathematics, focusing on Monotone polygon and, on occasion, Linear programming and Cardinality.
Combinatorics overlaps with fields such as A domain and External field in his research.
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