Page 1 Page 2 Selected Titles in This Series http://dx.doi.org/10.1090/surv/072 72 71 70 69 68
67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 Gerald Teschl, Jacobi …

This is a comprehensive exposition of the classical moment problem using methods from the
theory of finite difference operators. Among the advantages of this approach is that the …

We discuss results where the discrete spectrum (or partial information on the discrete
spectrum) and partial information on the potential $ q $ of a one-dimensional Schrödinger …

We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices.
Of special interest is a linear combination of two of his sum rules which has strictly positive …

We present a new approach (distinct from Gel'fand-Levitan) to the theorem of Borg-
Marchenko that the m-function (equivalently, spectral measure) for a finite interval or half …

For continuous and discrete one-dimensional Schrödinger operators with square summable
potentials, the absolutely continuous part of the spectrum is essentially supported by [0,∞) …

Spectral measures arise in numerous applications such as quantum mechanics, signal
processing, resonance phenomena, and fluid stability analysis. Similarly, spectral …

The Foundations of Infinite-Dimensional Spectral Computations Page 1 The Foundations of
Infinite-Dimensional Spectral Computations Matthew J. Colbrook St John’s College University …

We discuss results where information on parts of the discrete spectra of onedimensional
Schrödinger operators H=− d 2 dx2+ q in L2 ((0, 1)) or of a finite Jacobi matrix together with …

This paper touches upon several traditional topics of 1D linear complex analysis including
distribution of zeros of entire functions, completeness problem for complex exponentials and …