Errata: Small Eigenvalues of Large Hankel Matrices

1968 ◽  
Vol 19 (6) ◽  
pp. 1508
Author(s):  
Harold Widom ◽  
Herbert Wilf
Keyword(s):  
Hankel Matrices ◽  
Small Eigenvalues

scholarly journals Small eigenvalues of large Hankel matrices: The indeterminate case

2002 ◽  
Vol 91 (1) ◽  
pp. 67 ◽  
Author(s):  
Christian Berg ◽  
Yang Chen ◽  
Mourad E. H. Ismail
Keyword(s):  
Lower Bound ◽  
Positive Constant ◽  
Moment Problems ◽  
Hankel Matrices ◽  
Orthonormal Polynomials ◽  
Indeterminate Moment Problems ◽  
Explicit Lower Bound ◽  
Indeterminate Case ◽  
Bounded Below ◽  
Small Eigenvalues

In this paper we characterize the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given in terms of the orthonormal polynomials and we find expressions for this lower bound in a number of indeterminate moment problems.

scholarly journals Small eigenvalues of large Hankel matrices

1999 ◽  
Vol 32 (42) ◽  
pp. 7305-7315 ◽  
Author(s):  
Yang Chen ◽  
Nigel Lawrence
Keyword(s):  
Hankel Matrices ◽  
Small Eigenvalues

A note on the eigenvalues of $$g$$ g -circulants (and of $$g$$ g -Toeplitz, $$g$$ g -Hankel matrices)

CALCOLO ◽  
2013 ◽  
Vol 51 (4) ◽  
pp. 639-659 ◽  
Author(s):  
Stefano Serra-Capizzano ◽  
Debora Sesana
Keyword(s):  
Hankel Matrices

scholarly journals WITTEN DEFORMATION FOR NONCOMPACT MANIFOLDS WITH BOUNDED GEOMETRY

2021 ◽  
pp. 1-38
Author(s):  
Xianzhe Dai ◽  
Junrong Yan
Keyword(s):  
Essential Role ◽  
Morse Function ◽  
Noncompact Manifold ◽  
Morse Inequalities ◽  
Bounded Geometry ◽  
Noncompact Manifolds ◽  
Witten Laplacian ◽  
Relative Cohomology ◽  
Witten Deformation ◽  
Small Eigenvalues

Abstract Motivated by the Landau–Ginzburg model, we study the Witten deformation on a noncompact manifold with bounded geometry, together with some tameness condition on the growth of the Morse function f near infinity. We prove that the cohomology of the Witten deformation $d_{Tf}$ acting on the complex of smooth $L^2$ forms is isomorphic to the cohomology of the Thom–Smale complex of f as well as the relative cohomology of a certain pair $(M, U)$ for sufficiently large T. We establish an Agmon estimate for eigenforms of the Witten Laplacian which plays an essential role in identifying these cohomologies via Witten’s instanton complex, defined in terms of eigenspaces of the Witten Laplacian for small eigenvalues. As an application, we obtain the strong Morse inequalities in this setting.

Small eigenvalues on Riemann surfaces of genus 2

1991 ◽  
Vol 106 (1) ◽  
pp. 121-138 ◽  
Author(s):  
Paul Schmutz
Keyword(s):  
Riemann Surfaces ◽  
Genus 2 ◽  
Small Eigenvalues

Classifying normal Hankel matrices

2009 ◽  
Vol 79 (1) ◽  
pp. 114-117 ◽  
Author(s):  
Kh. D. Ikramov ◽  
V. N. Chugunov
Keyword(s):  
Hankel Matrices
Sign in / Sign up

Export Citation Format

Share Document