Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations:A Volume Dedicated to Heinz Langer

图书简介

This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer?s chief research interests and will appeal to a broad readership whose work involves operator theory.

Part I - Biographical material.-燣ist of publications of Heinz Langer.-燩rogram of the Laudatio ceremony and photos.-燞einz Langer Laudatio.- Part II - Papers.-燭he inverse monodromy problem.-燭he bitangential matrix Nevanlinna-Pick interpolation爌roblem revisited.-燜inite rank perturbations in Pontryagin spaces燼nd a Sturm-Liouville problem with -rational boundary conditions.-燨n unimodular transformations爋f conservative L-systems.-燬pectral theory of stationary random fi elds燼nd their generalizations. A short historical survey.-燬emicircular-like, and semicircular laws induced by燾ertain C*-probability spaces over the fi nite adele ring AQ.-燨n the asymptotic behaviour of the zeros爋f solutions of one functional-differential equation with rescaling.-燫ational q x q Carath閛dory functions燼nd central non-negative Hermitian measures.-燨n the spectrum of an operator in truncated Fock space.-燣imit properties of eigenvalues in spectral gaps.-燬elf-adjoint boundary conditions for the prolate spheroid differential operators.-燗n addendum to a paper by Li and Zhang.-燨n accelerants and their analogs, and on the characterization爋f the rectangular Weyl functions for Dirac systems with locally square-integrable爌otentials on a semi-axis.-燚irac equation: the stationary and dynamical scattering problems.-燙ompressed resolvents, Q-functions and h0-resolvents in almost Pontryagin spaces.-燚issymmetrising inner product spaces.

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Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations:A Volume Dedicated to Heinz Langer（Linear Operators and Linear Systems） 数学史

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations:A Volume Dedicated to Heinz Langer（Linear Operators and Linear Systems）
数学史