東華大學圖書館 |

Large truncated Toeplitz matrices, toeplitz operators, and related topics = the Albrecht Bottcher anniversary volume /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Large truncated Toeplitz matrices, toeplitz operators, and related topics/ edited by Dario A. Bini ... [et al.].
其他題名:	the Albrecht Bottcher anniversary volume /
其他作者:	Bini, Dario A.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xxvi, 740 p. :ill., digital ;24 cm.
內容註:	Publications of Albrecht Bottcher -- Albrecht Bottcher - 20 Years of Friendship and Joint Work -- Salutatory with regards from the mathematics students of Chemnitz -- Essay on Albrecht Bottcher -- Meeting Albrecht the Strong -- The beginning (the way I remember it) -- Personal Address on the Occasion of Albrecht Bottcher's 60th Birthday -- Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices -- Echelon type canonical forms in upper triangular matrix algebras -- Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices -- Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series -- Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness -- On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II -- Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators -- Fast inversion of centrosymmetric Toeplitz-plus-Hankel Bezoutians -- On Matrix-Valued Stieltjes Functions with an Emphasis on Particular Subclasses -- The theory of Generalized Locally Toeplitz sequences: a review, an extension, and a few representative applications -- The Bezout equation on the right half plane in a Wiener space setting -- On a collocation-quadrature method for the singular integral equation of the notched half plane problem -- The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts -- On the Norm of Linear Combinations of Projections and Some Characterizations of Hilbert Spaces -- Pseudodifferential Operators in Weighted Holder-Zygmund Spaces of Variable Smoothness -- Commutator estimates comprising the Frobenius norm - Looking back and forth -- Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary -- Traces on operator ideals and related linear forms on sequence ideals (part IV) -- Error estimates for the ESPRIT algorithm -- The universal algebra generated by a power partial isometry -- Norms, condition numbers and pseudospectra of convolution type operators on intervals -- Paired operators in asymmetric space setting -- Natural Boundary for a Sum Involving Toeplitz Determinants -- A Riemann-Hilbert Approach to Filter Design.
Contained By:	Springer eBooks
標題:	Toeplitz operators. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-49182-0
ISBN:	9783319491820

Large truncated Toeplitz matrices, toeplitz operators, and related topics = the Albrecht Bottcher anniversary volume /
Large truncated Toeplitz matrices, toeplitz operators, and related topicsthe Albrecht Bottcher anniversary volume /[electronic resource] :edited by Dario A. Bini ... [et al.]. - Cham :Springer International Publishing :2017. - xxvi, 740 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2590255-0156 ;. - Operator theory: advances and applications ;v.259..

Publications of Albrecht Bottcher -- Albrecht Bottcher - 20 Years of Friendship and Joint Work -- Salutatory with regards from the mathematics students of Chemnitz -- Essay on Albrecht Bottcher -- Meeting Albrecht the Strong -- The beginning (the way I remember it) -- Personal Address on the Occasion of Albrecht Bottcher's 60th Birthday -- Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices -- Echelon type canonical forms in upper triangular matrix algebras -- Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices -- Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series -- Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness -- On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II -- Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators -- Fast inversion of centrosymmetric Toeplitz-plus-Hankel Bezoutians -- On Matrix-Valued Stieltjes Functions with an Emphasis on Particular Subclasses -- The theory of Generalized Locally Toeplitz sequences: a review, an extension, and a few representative applications -- The Bezout equation on the right half plane in a Wiener space setting -- On a collocation-quadrature method for the singular integral equation of the notched half plane problem -- The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts -- On the Norm of Linear Combinations of Projections and Some Characterizations of Hilbert Spaces -- Pseudodifferential Operators in Weighted Holder-Zygmund Spaces of Variable Smoothness -- Commutator estimates comprising the Frobenius norm - Looking back and forth -- Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary -- Traces on operator ideals and related linear forms on sequence ideals (part IV) -- Error estimates for the ESPRIT algorithm -- The universal algebra generated by a power partial isometry -- Norms, condition numbers and pseudospectra of convolution type operators on intervals -- Paired operators in asymmetric space setting -- Natural Boundary for a Sum Involving Toeplitz Determinants -- A Riemann-Hilbert Approach to Filter Design.

This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Bottcher's 60th birthday. Albrecht Bottcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Bottcher's work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

ISBN: 9783319491820

Standard No.: 10.1007/978-3-319-49182-0doiSubjects--Personal Names:

576208
Bottcher, Albrecht.
Subjects--Topical Terms:

708293
Toeplitz operators.

LC Class. No.: QA329.2

Dewey Class. No.: 515.7246

Large truncated Toeplitz matrices, toeplitz operators, and related topics = the Albrecht Bottcher anniversary volume /
LDR:04023nmm a2200325 a 4500 001 2092981
003 DE-He213
005 20170322051916.0
006 m d
007 cr nn 008maaau
008 171117s2017 gw s 0 eng d
020 $a 9783319491820 $q (electronic bk.)
020 $a 9783319491806 $q (paper)
024 7 $a 10.1007/978-3-319-49182-0 $2 doi
035 $a 978-3-319-49182-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.2
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
082 0 4 $a 515.7246 $2 23
090 $a QA329.2 $b .L322 2017
245 0 0 $a Large truncated Toeplitz matrices, toeplitz operators, and related topics $h [electronic resource] : $b the Albrecht Bottcher anniversary volume / $c edited by Dario A. Bini ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xxvi, 740 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.259
505 0 $a Publications of Albrecht Bottcher -- Albrecht Bottcher - 20 Years of Friendship and Joint Work -- Salutatory with regards from the mathematics students of Chemnitz -- Essay on Albrecht Bottcher -- Meeting Albrecht the Strong -- The beginning (the way I remember it) -- Personal Address on the Occasion of Albrecht Bottcher's 60th Birthday -- Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices -- Echelon type canonical forms in upper triangular matrix algebras -- Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices -- Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series -- Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness -- On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II -- Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators -- Fast inversion of centrosymmetric Toeplitz-plus-Hankel Bezoutians -- On Matrix-Valued Stieltjes Functions with an Emphasis on Particular Subclasses -- The theory of Generalized Locally Toeplitz sequences: a review, an extension, and a few representative applications -- The Bezout equation on the right half plane in a Wiener space setting -- On a collocation-quadrature method for the singular integral equation of the notched half plane problem -- The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts -- On the Norm of Linear Combinations of Projections and Some Characterizations of Hilbert Spaces -- Pseudodifferential Operators in Weighted Holder-Zygmund Spaces of Variable Smoothness -- Commutator estimates comprising the Frobenius norm - Looking back and forth -- Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary -- Traces on operator ideals and related linear forms on sequence ideals (part IV) -- Error estimates for the ESPRIT algorithm -- The universal algebra generated by a power partial isometry -- Norms, condition numbers and pseudospectra of convolution type operators on intervals -- Paired operators in asymmetric space setting -- Natural Boundary for a Sum Involving Toeplitz Determinants -- A Riemann-Hilbert Approach to Filter Design.
520 $a This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Bottcher's 60th birthday. Albrecht Bottcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Bottcher's work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.
600 1 0 $a Bottcher, Albrecht. $3 576208
650 0 $a Toeplitz operators. $3 708293
650 0 $a Toeplitz matrices. $3 711263
650 0 $a Mathematicians. $3 514781
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
650 2 4 $a Operator Theory. $3 897311
700 1 $a Bini, Dario A. $3 886304
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Operator theory: advances and applications ; $v v.259. $3 3227426
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-49182-0
950 $a Mathematics and Statistics (Springer-11649)