D-Index & Metrics Best Publications

D-Index & Metrics

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 4,343 168 World Ranking 1828 National Ranking 802

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Hilbert space

Mihai Putinar spends much of his time researching Mathematical analysis, Pure mathematics, Spectrum, Algebra and Hilbert space. His work on Neumann–Poincaré operator, Interpolation and Unit sphere as part of general Mathematical analysis study is frequently connected to Quadrature domains, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His Pure mathematics study combines topics in areas such as Discrete mathematics, Bounded function and Order.

His work carried out in the field of Spectrum brings together such families of science as Complex variables, Current, Applied mathematics, Variety and Field theory. As a part of the same scientific study, he usually deals with the Algebra, concentrating on Operator theory and frequently concerns with Scalar, Real algebraic geometry and Several complex variables. His Hilbert space research is multidisciplinary, incorporating elements of Space, Polynomial, Hardy space and Corona theorem.

His most cited work include:

  • Complex Symmetric Operators and Applications II (281 citations)
  • Lectures on Hyponormal Operators (134 citations)
  • Spectral Decompositions and Analytic Sheaves (132 citations)

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

Mihai Putinar focuses on Pure mathematics, Mathematical analysis, Algebra, Bounded function and Hilbert space. Mihai Putinar has researched Pure mathematics in several fields, including Function, Discrete mathematics, Polynomial and Fock space. His research in the fields of Complex plane and Measure overlaps with other disciplines such as Quadrature domains and Planar.

His Algebra study frequently links to other fields, such as Operator theory. His biological study spans a wide range of topics, including Polarization, Boundary, Algebraic number and Finite set. His work is dedicated to discovering how Hilbert space, Space are connected with Spectrum and other disciplines.

He most often published in these fields:

  • Pure mathematics (59.30%)
  • Mathematical analysis (26.67%)
  • Algebra (22.46%)

What were the highlights of his more recent work (between 2016-2021)?

  • Pure mathematics (59.30%)
  • Function (11.58%)
  • Bounded function (18.95%)

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

His primary areas of study are Pure mathematics, Function, Bounded function, Algebraic number and Orthogonal polynomials. Hilbert space and Hardy space are among the areas of Pure mathematics where the researcher is concentrating his efforts. The various areas that Mihai Putinar examines in his Hilbert space study include Space and Contraction.

The study incorporates disciplines such as Characteristic function, Interval, Applied mathematics, Convolution and Polynomial in addition to Function. His research integrates issues of Polarization and Finite set in his study of Algebraic number. In his works, he performs multidisciplinary study on Planar and Mathematical analysis.

Between 2016 and 2021, his most popular works were:

  • Data-driven spectral analysis of the Koopman operator (52 citations)
  • Data-driven spectral analysis of the Koopman operator (52 citations)
  • The Essential Spectrum of the Neumann–Poincaré Operator on a Domain with Corners (37 citations)

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

  • Mathematical analysis
  • Algebra
  • Hilbert space

The scientist’s investigation covers issues in Pure mathematics, Spectrum, Applied mathematics, Planar and Function. Mihai Putinar combines topics linked to Algebraic domain with his work on Pure mathematics. His study in Spectrum is interdisciplinary in nature, drawing from both Operator, Toeplitz matrix, Observable, Unit circle and Eigenvalues and eigenvectors.

Mihai Putinar combines subjects such as Subnormal operator, Weak topology, Outlier and Dynamic mode decomposition with his study of Applied mathematics. His Mathematical analysis research includes elements of Wedge and Essential spectrum. His Orthogonal polynomials study frequently links to adjacent areas such as Algebra.

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

Complex Symmetric Operators and Applications II

Stephan Ramon Garcia;Stephan Ramon Garcia;Mihai Putinar.
Transactions of the American Mathematical Society (2005)

340 Citations

Lectures on Hyponormal Operators

Mircea Martin;Mihai Putinar.
(1989)

277 Citations

Spectral Decompositions and Analytic Sheaves

Jörg Eschmeier;Mihai Putinar.
(1996)

251 Citations

Solving moment problems by dimensional extension

Mihai Putinar;Florian-Horia Vasilescu.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique (1999)

148 Citations

Reconstructing planar domains from their moments

Björn Gustafsson;Chiyu He;Peyman Milanfar;Mihai Putinar.
Inverse Problems (2000)

131 Citations

Variation der globalen Ext in Deformationen kompakter komplexer Räume

C. Bânicâ;M. Putinar;G. Schumacher.
Mathematische Annalen (1980)

118 Citations

Poincare's variational problem in potential theory

Dmitry Khavinson;Mihai Putinar;Harold S. Shapiro.
Archive for Rational Mechanics and Analysis (2007)

113 Citations

A note on Tchakaloff’s Theorem

Mihai Putinar.
Proceedings of the American Mathematical Society (1997)

85 Citations

Nearly Subnormal Operators and Moment Problems

R.E. Curto;M. Putinar.
Journal of Functional Analysis (1993)

81 Citations

Extremal Solutions of the Two-DimensionalL-Problem of Moments, II

Mihai Putinar.
Journal of Approximation Theory (1998)

78 Citations

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