INVERSE SPECTRAL THEORY FOR A CLASS OF NON‐COMPACT HANKEL OPERATORS
نویسندگان
چکیده
منابع مشابه
Symplectic inverse spectral theory for pseudodifferential operators
We prove, under some generic assumptions, that the semiclassical spectrum modulo O(~) of a one dimensional pseudodifferential operator completely determines the symplectic geometry of the underlying classical system. In particular, the spectrum determines the hamiltonian dynamics of the principal symbol.
متن کاملInverse spectral problems for Sturm-Liouville operators with transmission conditions
Abstract: This paper deals with the boundary value problem involving the differential equation -y''+q(x)y=lambda y subject to the standard boundary conditions along with the following discontinuity conditions at a point y(a+0)=a1y(a-0), y'(a+0)=a2y'(a-0)+a3y(a-0). We develop the Hochestadt-Lieberman’s result for Sturm-Lio...
متن کاملIntroduction to Spectral Theory of Hankel and Toeplitz Operators
These are the notes of the lecture course given at LTCC in 2015. The aim of the course is to consider the following three classes of operators: Toeplitz and Hankel operators on the Hardy space on the unit circle and Toeplitz operators on the Bergman space on the unit disk. For each of these three classes of operators, we consider the following questions: boundedness and estimates or explicit ex...
متن کاملTrace Formulae and Inverse Spectral Theory for Schrödinger Operators
We extend the well-known trace formula for Hill's equation to general one-dimensional Schrodinger operators. The new function <J , which we introduce, is used to study absolutely continuous spectrum and inverse problems. In this note we will consider one-dimensional Schrodinger operators d2 (IS) H = -j-1 + V(x) onL2(R;dx)
متن کاملTrace Formulas and Inverse Spectral Theory for Jacobi Operators
Based on high energy expansions and Herglotz properties of Green and Weyl m-functions we develop a self-contained theory of trace formulas for Jacobi operators. In addition, we consider connections with inverse spectral theory, in particular uniqueness results. As an application we work out a new approach to the inverse spectral problem of a class of reflectionless operators producing explicit ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematika
سال: 2018
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579318000281