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- Douglas P. Hardin

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
32
Citations
7,035
155
World Ranking
2323
National Ranking
984

- 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.

- 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)

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.

- Energy (28.50%)
- Mathematical analysis (25.39%)
- Discrete mathematics (23.83%)

- Energy (28.50%)
- Discrete mathematics (23.83%)
- Linear programming (8.29%)

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.

- 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)

- 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.

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

Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

J.S. Geronimo;D.P. Hardin;P.R. Massopust.

Journal of Approximation Theory **(1994)**

1061 Citations

Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

J.S. Geronimo;D.P. Hardin;P.R. Massopust.

Journal of Approximation Theory **(1994)**

1061 Citations

A comprehensive evaluation of multicategory classification methods for microarray gene expression cancer diagnosis

Alexander Statnikov;Constantin F. Aliferis;Ioannis Tsamardinos;Douglas Hardin.

Bioinformatics **(2005)**

1003 Citations

A comprehensive evaluation of multicategory classification methods for microarray gene expression cancer diagnosis

Alexander Statnikov;Constantin F. Aliferis;Ioannis Tsamardinos;Douglas Hardin.

Bioinformatics **(2005)**

1003 Citations

Design of prefilters for discrete multiwavelet transforms

X.-G. Xia;J.S. Geronimo;D.P. Hardin;B.W. Suter.

IEEE Transactions on Signal Processing **(1996)**

524 Citations

Design of prefilters for discrete multiwavelet transforms

X.-G. Xia;J.S. Geronimo;D.P. Hardin;B.W. Suter.

IEEE Transactions on Signal Processing **(1996)**

524 Citations

Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

George Donovan;Jeffrey Stephen Geronimo;Douglas P. Hardin;Peter R. Massopust.

Siam Journal on Mathematical Analysis **(1996)**

522 Citations

Construction of Orthogonal Wavelets Using Fractal Interpolation Functions

George Donovan;Jeffrey Stephen Geronimo;Douglas P. Hardin;Peter R. Massopust.

Siam Journal on Mathematical Analysis **(1996)**

522 Citations

Solution of an inverse problem for fractals and other sets.

M. F. Barnsley;V. Ervin;D. Hardin;J. Lancaster.

Proceedings of the National Academy of Sciences of the United States of America **(1986)**

497 Citations

Solution of an inverse problem for fractals and other sets.

M. F. Barnsley;V. Ervin;D. Hardin;J. Lancaster.

Proceedings of the National Academy of Sciences of the United States of America **(1986)**

497 Citations

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