The third regularized trace formula for the Sturm–Liouville operator with the bounded operator coefficient
نویسندگان
چکیده
منابع مشابه
A Regularized Trace Formula for a Differential Operator of Second Order with Unbounded Operator Coefficients given in a Finite Interval
In this work, a formula for the regularized trace of second order differential operator given in a finite interval which has unbounded operator coefficients is found.
متن کاملInstitute for Mathematical Physics Inverse Problem and the Trace Formula for the Hill Operator, Ii Inverse Problem and the Trace Formula for the Hill Operator, Ii
Consider the Hill operator T = ?d 2 =dx 2 + q(x) on L 2 (R); where q 2 L 2 (0; 1) is a 1-periodic real potential and R 1 0 q(x)dx = 0: The spectrum of T is absolutely continuous and consists of intervals separated by gaps n = (a ? n ; a
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولKrein’s Trace Formula for Unitary Operators and Operator Lipschitz Functions
The spectral shift function for pairs of selfadjoint operators was introduced in the paper by I.M. Lifshits [17]. In the same paper a trace formula for the difference of functions of the perturbed operator and the unperturbed operator was established. Ideas by Lifshits were developed in the paper by M.G. Krein [14], in which the spectral shift function ξ in L1(R) was defined for arbitrary pairs...
متن کاملA Poisson formula for the Schrodinger operator
We prove a nonlinear Poisson type formula for the Schrödinger group. Such a formula had been derived in a previous paper by the authors, as a consequence of the study of the asymptotic behavior of nonlinear wave operators for small data. In this note, we propose a direct proof, and extend the range allowed for the power of the nonlinearity to the set of all short range nonlinearities. Moreover,...
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: Mathematical and Computer Modelling
سال: 2010
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2010.07.014