Eigenfunction expansion in the singular case for q-Sturm-Liouville operators
نویسندگان
چکیده مقاله:
In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.
منابع مشابه
q-Sturm-Liouville theory and the corresponding eigenfunction expansions
The aim of this paper is to study the q-Schrödinger operator L = q(x) −∆q, where q(x) is a given function of x defined over R q = {qn, n ∈ Z} and ∆q is the q-Laplace operator ∆qf(x) = 1 x [ f(qx)− 1 + q q f(x) + 1 q f(qx) ]
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عنوان ژورنال
دوره 8 شماره 2
صفحات 91- 102
تاریخ انتشار 2019-08-01
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