کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898415 | 1631377 | 2018 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Periodic perturbations of unbounded Jacobi matrices III: The soft edge regime
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Periodic perturbations of unbounded Jacobi matrices III: The soft edge regime Periodic perturbations of unbounded Jacobi matrices III: The soft edge regime](/preview/png/8898415.png)
چکیده انگلیسی
We present pretty detailed spectral analysis of Jacobi matrices with periodically modulated entries in the case when 0 lies on the soft edge of the spectrum of the corresponding periodic Jacobi matrix. In particular, we show that the studied operators are always self-adjoint irrespective of the modulated sequence. Moreover, if the growth of the modulated sequence is superlinear, then the spectrum of the considered operators is always discrete. Finally, we study regular perturbations of this class in the linear and the sublinear cases. We impose conditions assuring that the spectrum is absolutely continuous on some regions of the real line. A constructive formula for the density in terms of Turán determinants is also provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 233, September 2018, Pages 1-36
Journal: Journal of Approximation Theory - Volume 233, September 2018, Pages 1-36
نویسندگان
Grzegorz Åwiderski,