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Mathematics

D-Index
31
Citations
7345
World Ranking
3271
National Ranking
198

Overview

Albrecht Böttcher is affiliated with Chemnitz University of Technology in Germany. Their research spans significant areas within mathematics and computer science, with focused contributions in applied mathematics, computational theory, and mathematical physics.

Their scholarly output includes recent papers such as Eigenvalue Clusters of Large Tetradiagonal Toeplitz Matrices (2021, Integral Equations and Operator Theory), Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials (2020, Linear Algebra and its Applications), Asymptotic Eigenvalue Expansions for Toeplitz Matrices with Certain Fisher-Hartwig Symbols (2023, Journal of Mathematical Sciences), and Core invertibility of operators from the algebra generated by two orthogonal projections (2023, Acta Scientiarum Mathematicarum). Additional work includes Harold Widom's work in Toeplitz operators (2022, Bulletin of the American Mathematical Society).

Albrecht Böttcher's research frequently intersects with collaborators such as Estelle Basor, Torsten Ehrhardt, Ilya M. Spitkovsky, Sergei M. Grudsky, and Craig A. Tracy.

Their publications appear regularly in various mathematical journals, including:

  • Acta Scientiarum Mathematicarum
  • Linear Algebra and its Applications
  • Journal of Mathematical Sciences
  • Integral Equations and Operator Theory
  • Bulletin of the American Mathematical Society

They have contributed to the literature through a book titled Toeplitz Operators and Random Matrices, published by Springer Nature in 2022.

The main fields of study for Albrecht Böttcher include:

  • Mathematics
  • Computer Science

Within these fields, subfields of particular focus are:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Statistics and Probability
  • Discrete Mathematics and Combinatorics

The primary topics of their research work include:

  • Matrix Theory and Algorithms
  • Holomorphic and Operator Theory
  • Random Matrices and Applications
  • Mathematical functions and polynomials
  • Spectral Theory in Mathematical Physics
  • Advanced Algebra and Geometry
  • Mathematical Analysis and Transform Methods

Best Publications

  • Analysis of Toeplitz Operators

    Albrecht Böttcher;Bernd Silbermann

  • Introduction to Large Truncated Toeplitz Matrices

    Albrecht Böttcher;Bernd Silbermann

  • Spectral Properties of Banded Toeplitz Matrices

    Albrecht Bottcher;Sergei M. Grudsky

  • Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

    Albrecht Böttcher;Yuri I. Karlovich

  • Analysis of Toeplitz Operators

    Unknown

  • Convolution Operators and Factorization of Almost Periodic Matrix Functions

    Albrecht Böttcher;Yuri I. Karlovich;Ilya M. Spitkovskiĭ

  • Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis

    Albrecht Böttcher;Sergei M. Grudsky

  • Analysis of Toeplitz Operators (Springer Monographs in Mathematics)

    Albrecht Böttcher;Bernd Silbermann;A. Y. Karlovich

  • A gentle guide to the basics of two projections theory

    A. Böttcher;I.M. Spitkovsky

  • The Frobenius norm and the commutator

    Albrecht Böttcher;David Wenzel

  • Pseudospectra and Singular Values of Large Convolution Operators

    Albrecht Böttcher

  • Invertibility and asymptotics of Toeplitz matrices

    Albrecht Böttcher;Bernd Silbermann

  • Analysis of Toeplitz Operators

    Unknown

  • On the condition numbers of large semidefinite Toeplitz matrices

    Albrecht Böttcher;Sergei M. Grudsky

  • How big can the commutator of two matrices be and how big is it typically

    Albrecht Böttcher;David Wenzel

  • Toeplitz matrices and determinants with Fisher-Hartwig symbols

    Albrecht Böttcher;Bernd Silbermann

  • Toeplitz Operators and Determinants Generated by Symbols with One Fisher‐Hartwig Singularity

    Albrecht Böttcher;Bernd Silbermann

  • The method of limit operators for one-dimensional singular integrals with slowly oscillating data

    A. Böttcher;Yu I. Karlovich;Vladimir Rabinovitch

  • Szegö via Jacobi

    Albrecht Böttcher;Harold Widom

  • Norms of Inverses, Spectra, and Pseudospectra of Large Truncated Wiener-Hopf Operators and Toeplitz Matrices

    A. Böttcher;S. M. Grudsky;B. Silbermann

  • Convergence rates for Tikhonov regularization from different kinds of smoothness conditions

    Albrecht Böttcher;Bernd Hofmann;Ulrich Tautenhahn;Masahiro Yamamoto

  • Weighted norm inequalities

    Albrecht Böttcher;Yuri I. Karlovich

  • Notes on the asymptotic behavior of block TOEPLITZ matrices and determinants

    Albrecht Böttcher;Bernd Silbermann

Frequent Co-Authors

Israel Gohberg
Israel Gohberg Tel Aviv University
Harold Widom
Harold Widom University of California, Santa Cruz
Arieh Iserles
Arieh Iserles University of Cambridge
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Daniel Potts
Daniel Potts Chemnitz University of Technology
Dario Andrea Bini
Dario Andrea Bini University of Pisa
Stefano Serra-Capizzano
Stefano Serra-Capizzano University of Insubria
Deanna Needell
Deanna Needell University of California, Los Angeles
Roland K. O. Sigel
Roland K. O. Sigel University of Zurich
Barry Simon
Barry Simon California Institute of Technology

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