Found 105 Documents (Results 1–100)
Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift. (English) Zbl 07687703
The inner structure of the block Jacobi type matrix related to the complex moment problem with the measure supported on the second order curve. (English) Zbl 1524.44011
Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients. (English) Zbl 07605366
Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts. (English) Zbl 1506.37035
Reviewer: Lennard Bakker (Provo)
Subordinacy theory for extended CMV matrices. (English) Zbl 1503.47042
MSC:
47B36
Quantum walks: Schur functions meet symmetry protected topological phases. (English) Zbl 07463704
Reviewer: Adhemar Bultheel (Leuven)
Occupation time for classical and quantum walks. (English) Zbl 1491.60060
Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 197-212 (2021).
Finite-gap CMV matrices: periodic coordinates and a magic formula. (English) Zbl 1489.15033
Reviewer: Martín Argerami (Regina)
Entropy function and orthogonal polynomials. (English) Zbl 1492.42023
Reviewer: Lotfi Khériji (Tunis)
A CMV connection between orthogonal polynomials on the unit circle and the real line. (English) Zbl 1475.42040
Reviewer: Lotfi Khériji (Tunis)
MSC:
42C05
Darboux transformations for orthogonal polynomials on the real line and on the unit circle. (English) Zbl 1460.33006
Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 53-75 (2021).
Spectral properties of limit-periodic operators. (English) Zbl 1515.47047
Keller, Matthias (ed.) et al., Analysis and geometry on graphs and manifolds. Selected papers of the conference, University of Potsdam, Potsdam, Germany, July 31 – August 4, 2017. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 461, 382-444 (2020).
Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients. (English) Zbl 1466.37021
Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices. (English) Zbl 1448.37028
Direct approach for the characteristic function of a dissipative operator with distributional potentials. (English) Zbl 1533.47011
CMV block matrices for symmetric matrix measures on the unit circle. (English) Zbl 1437.33014
Reviewer: Francisco Marcellán (Leganes)
Christoffel transformation for a matrix of bi-variate measures. (English) Zbl 1437.42038
Reviewer: Martin D. Buhmann (Gießen)
Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients. (English) Zbl 07130657
Spectral approximation for ergodic CMV operators with an application to quantum walks. (English) Zbl 06918442
CMV biorthogonal Laurent polynomials: perturbations and Christoffel formulas. (English) Zbl 1391.42030
Reviewer: Francisco Marcellán (Leganes)
MSC:
42C05
A new method for dissipative dynamic operator with transmission conditions. (English) Zbl 1495.47062
Resolvent methods for quantum walks with an application to a Thue-Morse quantum walk. (English) Zbl 1470.81041
On a completely non-unitary contraction and associated dissipative difference operator. (English) Zbl 1412.47014
Sensitivity of quantum walks to a boundary of two-dimensional lattices: approaches based on the CGMV method and topological phases. (English) Zbl 1386.82022
Spectral homogeneity of limit-periodic Schrödinger operators. (English) Zbl 1378.34097
Reviewer: Shlomo Carmi (Baltimore)
Fast Hessenberg reduction of some rank structured matrices. (English) Zbl 1367.65063
MSC:
65F30
Spectral homogeneity of discrete one-dimensional limit-periodic operators. (English) Zbl 1460.47013
MSC:
47B36
Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks. (English) Zbl 1397.81115
Reviewer: Christoph Koutschan (Linz)
Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon lemmas. (English) Zbl 1354.47023
MSC:
47B36
Finite range perturbations of finite gap Jacobi and CMV operators. (English) Zbl 1422.47032
Reviewer: Leonid Golinskii (Kharkov)
Generalized Prüfer variables for perturbations of Jacobi and CMV matrices. (English) Zbl 1353.47062
MSC:
47B36
Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective. (English) Zbl 1342.42026
CMV matrices, a matrix version of Baxter’s theorem, scattering and de Branges spaces. (English) Zbl 1346.42032
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line. (English) Zbl 1342.82120
Jacobi flow on SMP matrices and Killip-Simon problem on two disjoint intervals. (English) Zbl 1372.47041
Reviewer: Leonid Golinskii (Kharkov)
Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices. (English. French summary) Zbl 1332.81066
OPUC, CMV matrices and perturbations of measures supported on the unit circle. (English) Zbl 1323.42024
Reflectionless CMV matrices and scattering theory. (English) Zbl 1343.47014
Reviewer: Vladimir A. Derkach (Donetsk)
Compression of unitary rank-structured matrices to CMV-like shape with an application to polynomial rootfinding. (English) Zbl 1304.65131
The Schur problem and block operator CMV matrices. (English) Zbl 1320.47006
Reviewer: Adhemar Bultheel (Leuven)
CMV matrices with super exponentially decaying Verblunsky coefficients. (English) Zbl 1325.47070
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Influence of plant growth promoting rhizobacteria on fruit yield, pomological characteristics and chemical contents in cucumber mosaic virus-infected tomato plants. (English) Zbl 06367789
MSC:
62-XX
Simultaneous multidiagonalization for the CS decomposition. (English) Zbl 1301.15019
Reviewer: Francisco Marcellán (Leganes)
Orthogonal polynomials on the unit circle with Verblunsky coefficients defined by the skew-shift. (English) Zbl 1329.33011
Reviewer: María-José Cantero (Zaragoza)
Stability for the inverse resonance problem for the CMV operator. (English) Zbl 1321.47077
Holden, Helge (ed.) et al., Spectral analysis, differential equations and mathematical physics: A Festschrift in honor of Fritz Gesztesy’s 60th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7574-2/hbk). Proceedings of Symposia in Pure Mathematics 87, 315-326 (2013).
Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies. (English) Zbl 1293.30077
Jacobi and CMV matrices with coefficients of generalized bounded variation. (English) Zbl 1284.42081
Janas, Jan (ed.) et al., Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland. Basel: Birkhäuser (ISBN 978-3-0348-0530-8/hbk; 978-3-0348-0531-5/ebook). Operator Theory: Advances and Applications 227, 117-121 (2013).
CMV matrices and little and big \(-1\) Jacobi polynomials. (English) Zbl 1259.42018
Reviewer: Peter Massopust (München)
A generalization of the multishift QR algorithm. (English) Zbl 1261.65039
Reviewer: Constantin Popa (Constanţa)
MSC:
65F15
The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices. (English) Zbl 1300.37047
Limit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circle. (English) Zbl 1263.47035
Reviewer: Leonid Golinskii (Kharkov)
Localization of discrete-time quantum walks on a half line via the CGMV method. (English) Zbl 1238.81073
Chasing bulges or rotations? A metamorphosis of the QR-algorithm. (English) Zbl 1218.65035
MSC:
65F15
Reprint of: A quasiseparable approach to five-diagonal CMV and Fiedler matrices. (English) Zbl 1210.15034
A quasiseparable approach to five-diagonal CMV and Fiedler matrices. (English) Zbl 1215.15014
Linear Algebra Appl. 434, No. 4, 957-976 (2011); erratum ibid. 434, No. 7, I (2011).
Reviewer: Rodica Covaci (Cluj-Napoca)
An inverse spectral theory for finite CMV matrices. (English) Zbl 1191.15008
Reviewer: C. M. da Fonseca (Coimbra)
Trace formulas and a Borg-type theorem for CMV operators with matrix-valued coefficients. (English) Zbl 1186.47029
Green’s matrices. (English) Zbl 1195.15012
Reviewer: Hans Havlicek (Wien)
Conservative discrete time-invariant systems and block operator CMV matrices. (English) Zbl 1199.47060
Reviewer: Anatoly N. Kochubei (Kyïv)
Energy-critical NLS with quadratic potentials. (English) Zbl 1188.33015
Reviewer: Piotr Garbaczewski (Opole)
Circular \(\beta \) ensembles, CMV representation, characteristic polynomials. (English) Zbl 1179.15038
Reviewer: Václav Burjan (Praha)
MSC:
15B52
Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations. (English) Zbl 1180.42016
Minimal rank decoupling of full-lattice CMV operators with scalar- and matrix-valued Verblunsky coefficients. (English) Zbl 1172.39026
Bohner, Martin (ed.) et al., Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21–25, 2008. Istanbul: Bahçeşehir University Press (ISBN 978-975-6437-80-3/pbk). 19-59 (2009).
Rational interpolation and mixed inverse spectral problem for finite CMV matrices. (English) Zbl 1193.30048
Reviewer: Antonio Serra (Lisboa)
CMV matrices with asymptotically constant coefficients. Szegő–Blaschke class, scattering theory. (English) Zbl 1167.47029
Reviewer: Petru A. Cojuhari (Kraków)
Finite difference operators with a finite-band spectrum. (English) Zbl 1169.47020
Janas, Jan (ed.) et al., Methods of spectral analysis in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP), Lund, Sweden, June 15–22, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8754-9/hbk). Operator Theory: Advances and Applications 186, 347-389 (2009).
Reviewer: Bilender P. Allahverdiev (Isparta)
Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators. (English) Zbl 1165.34051
Reviewer: Petru A. Cojuhari (Kraków)
Inverse spectral problems for a class of pentadiagonal unitary matrices. (English. Russian original) Zbl 1217.15011
Dokl. Math. 78, No. 3, 811-813 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 1, 11-13 (2008).
Borg–Marchenko type uniqueness results for CMV operators. (English) Zbl 1165.47021
Reviewer: Sylvain Golenia (Erlangen)
Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited. (English) Zbl 1165.34050
Reviewer: Petru A. Cojuhari (Kraków)
Asymptotic representation of weighted \(L_{\infty }\)- and \(L_{1}\)-minimal polynomials. (English) Zbl 1160.33007
Reviewer: José L. Lopez (Pamplona)
MSC:
33C45
Contractions with rank one defect operators and truncated CMV matrices. (English) Zbl 1143.47010
Reviewer: Michal Zajac (Bratislava)
Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients. (English) Zbl 1142.34014
Reviewer: Bilender P. Allahverdiev (Isparta)
Spectral theory via sum rules. (English) Zbl 1137.47001
Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 907-930 (2007).
Reviewer: Manfred Möller (Johannesburg)
CMV matrices: Five years after. (English) Zbl 1125.15027
Reviewer: A. Arvanitoyeorgos (Rion)
CMV: The unitary analogue of Jacobi matrices. (English) Zbl 1128.15012
Reviewer: A. Arvanitoyeorgos (Rion)
MSC:
15B57
Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle. (English) Zbl 1110.33004
Reviewer: Leonid Golinskii (Kharkov)
Asymptotics of orthogonal polynomials beyond the scope of Szegő’s theorem. (English. Russian original) Zbl 1116.33010
Funct. Anal. Appl. 40, No. 4, 264-272 (2006); translation from Funkts. Anal. Prilozh. 40, No. 4, 22-32 (2006).
Reviewer: José L. Lopez (Pamplona)
MSC:
33C45
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