کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617170 | 1339371 | 2012 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider a class of self-adjoint extensions using the boundary triplet technique. Assuming that the associated Weyl function has the special form M(z)=(m(z)Id−T)n(z)−1 with a bounded self-adjoint operator TT and scalar functions m,nm,n we show that there exists a class of boundary conditions such that the spectral problem for the associated self-adjoint extensions in gaps of a certain reference operator admits a unitary reduction to the spectral problem for TT. As a motivating example we consider differential operators on equilateral metric graphs, and we describe a class of boundary conditions that admit a unitary reduction to generalized discrete Laplacians.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 396, Issue 2, 15 December 2012, Pages 640–655
Journal: Journal of Mathematical Analysis and Applications - Volume 396, Issue 2, 15 December 2012, Pages 640–655
نویسندگان
Konstantin Pankrashkin,