D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 35 Citations 20,104 217 World Ranking 1836 National Ranking 111

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Pure mathematics
  • DNA

His scientific interests lie mostly in Pure mathematics, Function space, Mathematical analysis, Interpolation space and Discrete mathematics. His work investigates the relationship between Pure mathematics and topics such as Euclidean geometry that intersect with problems in Modulation space. His Function space study combines topics from a wide range of disciplines, such as Fourier analysis, Combinatorics and Discrete Fourier transform.

His study in Mathematical analysis is interdisciplinary in nature, drawing from both Besov space and Type. His work carried out in the field of Interpolation space brings together such families of science as Space, Compact operator on Hilbert space, Banach manifold and Interpolation. His Space study combines topics in areas such as Topological tensor product, Compact-open topology, Fréchet space and Lp space.

His most cited work include:

  • Interpolation Theory, Function Spaces, Differential Operators (3718 citations)
  • Theory of function spaces (3043 citations)
  • Theory of Function Spaces III (1258 citations)

What are the main themes of his work throughout his whole career to date?

Hans Triebel mainly focuses on Pure mathematics, Mathematical analysis, Function space, Combinatorics and Interpolation space. His Pure mathematics research is multidisciplinary, relying on both Fractal and Euclidean geometry. His Mathematical analysis study frequently links to other fields, such as Besov space.

His Function space research incorporates elements of Fourier analysis, Type and Cover. In his study, which falls under the umbrella issue of Combinatorics, Lipschitz continuity is strongly linked to Bounded function. His studies deal with areas such as Topological tensor product, Lp space and Space as well as Interpolation space.

He most often published in these fields:

  • Pure mathematics (40.28%)
  • Mathematical analysis (35.65%)
  • Function space (35.19%)

What were the highlights of his more recent work (between 2008-2021)?

  • Function space (35.19%)
  • Pure mathematics (40.28%)
  • Mathematical analysis (35.65%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Function space, Pure mathematics, Mathematical analysis, Sobolev space and Smoothness. The study incorporates disciplines such as Combinatorics, Type, Numerical integration, Calculus and Fourier analysis in addition to Function space. His Algebra over a field study, which is part of a larger body of work in Pure mathematics, is frequently linked to Context, bridging the gap between disciplines.

His Mathematical analysis research is multidisciplinary, incorporating elements of Interpolation space and Besov space. Hans Triebel is studying Birnbaum–Orlicz space, which is a component of Interpolation space. His work carried out in the field of Sobolev space brings together such families of science as Lp space and Hardy space.

Between 2008 and 2021, his most popular works were:

  • Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration (86 citations)
  • Local Function Spaces, Heat and Navier-stokes Equations (56 citations)
  • Sharp Sobolev Embeddings and Related Hardy Inequalities: The Sub -- Critical Case (41 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • DNA
  • Pure mathematics

Hans Triebel focuses on Pure mathematics, Mathematical analysis, Fourier analysis, Function space and Sobolev space. Hans Triebel combines subjects such as Smoothness, Interpolation space and Combinatorics with his study of Pure mathematics. Hans Triebel incorporates Interpolation space and Sub critical in his research.

His work on Heat equation as part of general Mathematical analysis study is frequently connected to Navier–Stokes equations, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His study brings together the fields of Hardy space and Sobolev space. His Hardy space research integrates issues from Spectral theory, Lp space, Elliptic operator and Inequality.

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.

Best Publications

Interpolation Theory, Function Spaces, Differential Operators

Hans Triebel.
(1978)

6536 Citations

Interpolation Theory, Function Spaces, Differential Operators

Hans Triebel.
(1978)

6536 Citations

Theory of function spaces

Hans Triebel.
(1983)

5088 Citations

Theory of function spaces

Hans Triebel.
(1983)

5088 Citations

Theory of Function Spaces III

Hans Triebel.
(2008)

2076 Citations

Theory of Function Spaces III

Hans Triebel.
(2008)

2076 Citations

Topics in Fourier Analysis and Function Spaces

Hans-Jürgen Schmeisser;Hans Triebel.
(1987)

696 Citations

Topics in Fourier Analysis and Function Spaces

Hans-Jürgen Schmeisser;Hans Triebel.
(1987)

696 Citations

Function spaces, entropy numbers, differential operators

David Eric Edmunds;Hans Triebel.
(1996)

455 Citations

Function spaces, entropy numbers, differential operators

David Eric Edmunds;Hans Triebel.
(1996)

455 Citations

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