Achievements and Challenges in the Field of Convolution Operators : The Yuri Karlovich Anniversary Volume / edited by Albrecht Böttcher, Oleksiy Karlovych, Eugene Shargorodsky, Ilya M. Spitkovsky.

Format:

Book

Contributor:

Böttcher, Albrecht, Editor.

Karlovych, Oleksiy., Editor.

Shargorodsky, Eugene., Editor.

Spitkovsky, Ilya M., Editor.

Series:

Operator Theory: Advances and Applications, 2296-4878 ; 306

Language:

English

Subjects (All):

Operator theory.

Operator Theory.

Local Subjects:

Operator Theory.

Physical Description:

1 online resource (X, 315 p. 26 illus., 22 illus. in color.)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.

Summary:

This volume, which is dedicated to Yuri Karlovich on the occasion of his 75th birthday, includes biographical material, personal reminiscences, and carefully selected papers. The contributions constituting the core of this volume are written by mathematicians who have collaborated with Yuri or have been influenced by his vast mathematical work. They are devoted to topics of Yuri Karlovich's work for five decades, starting with his work on singular integral operators with shift, then broadened to include Toeplitz, Wiener-Hopf, Fourier and Mellin convolution and pseudodifferential operators, factorisation of almost periodic matrix functions, and local trajectory methods for the study of algebras of convolution and singular integral operators.

Contents:

- Part I: Yuri Karlovich and his Work

Yuri Karlovich’s Path in Mathematics

List of publications of Yuri Karlovich

Yuri Karlovich and the Metamorphosis of Spectra of Singular Integral and Toeplitz Operators

Banach Algebras Generated by N Idempotents and Applications

Part II: Invited contributions

M-Local Type Conditions for the C*-Crossed Product and Local Trajectories

Factorisation of Symmetric Matrices and Applications in Gravitational Theories

Invertibility of Toeplitz Plus Hankel Operators on 𝒍lp-Spaces

On Pseudodifferential Operators with Slowly Oscillating Symbols on Variable Lebesgue Spaces with Khvedelidze Weights

Eigenvalues of the Laplacian Matrices of Cycles with one Overweighted Edge

On the Algebra of Singular Integral Operators with Almost Periodic Coefficients

Approximate Reconstruction of a One-Dimensional Parabolic Equation From Boundary Data

Characteristic Determinants for a Second Order Difference Equation on the Half-Line Arising in Hydrodynamics

On a Singular Integral Operator with two Shifts and Conjugation.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-031-80486-4

OCLC:

1528962408