摘要 : <abstract type="main" xml:lang="en" xml:id="mma6193-abs-0001"> <p>In this article, we investigate the resolvent operator of singular Sturm‐Liouville problem with transmission conditions. We obtain integral representations... 展开 <abstract type="main" xml:lang="en" xml:id="mma6193-abs-0001"> <p>In this article, we investigate the resolvent operator of singular Sturm‐Liouville problem with transmission conditions. We obtain integral representations for the resolvent of this operator in terms of the spectral function. Later, we discuss some properties of the resolvent operator, such as Hilbert‐Schmidt kernel property, compactness. Finally, we give a formula in terms of the spectral function for the Weyl‐Titchmarsh function of this problem.</p> </abstract> 收起