Spatial asymptotics of Green’s function and applications

被引：0

作者：

Sergey A. Denisov

机构：

[1] University of Wisconsin-Madison,Department of Mathematics

来源：

Journal d'Analyse Mathématique | 2022年 / 148卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the spatial asymptotics of Green’s function for the 1d Schrödinger operator with operator-valued decaying potential. The bounds on the entropy of the spectral measures are obtained. They are used to establish the presence of the a.c. spectrum.

引用

页码：501 / 522

页数：21

共 50 条

[1] Spatial asymptotics of Green's function and applications
Denisov, Sergey A.
JOURNAL D ANALYSE MATHEMATIQUE, 2022, 148 (02): : 501 - 522
[2] SPATIAL ASYMPTOTICS OF GREEN'S FUNCTION FOR ELLIPTIC OPERATORS AND APPLICATIONS: AC SPECTRAL TYPE, WAVE OPERATORS FOR WAVE EQUATION
Denisov, Sergey A.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (12) : 8907 - 8970
[3] Green's function asymptotics and sharp interpolation inequalities
Zelik, S. V.
Ilyin, A. A.
RUSSIAN MATHEMATICAL SURVEYS, 2014, 69 (02) : 209 - 260
[4] Strong asymptotics of orthonormal polynomials with the aid of Green's function
Peherstorfer, F
Steinbauer, R
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (02) : 385 - 402
[5] Asymptotics on the diagonal of the Green function of a Sturm-Liouville operator and its applications
Chernyavskaya, N
Shuster, L
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 61 : 506 - 530
[6] Spectral filtering of the spatial Green's function
Vipiana, F.
Polemi, A.
Maci, S.
Vecchi, G.
2007 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, VOLS 1-12, 2007, : 2563 - +
[7] On the large-time asymptotics of Green's function for internal gravity waves
Borovikov, VA
WAVE MOTION, 1997, 26 (03) : 275 - 289
[8] The Green's function of polyharmonic operators with diverging coefficients: Construction and sharp asymptotics
Carletti, Lorenzo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 419 : 370 - 417
[9] Green's function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds
Kha, Minh
JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 274 (02) : 341 - 387
[10] Comparison of the Empirical Green's Spatial Derivative Method and Empirical Green's Function Method
Ohori, Michihiro
Hisada, Yoshiaki
BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, 2011, 101 (06) : 2872 - 2886

← 1 2 3 4 5 →