✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
By restricting the function KD to the square JxJ we obtain acompact symmetric operator TD on L2 defined by
📌 3 Key Takeaways
🎯
Objective & Hypothesis:Bu çalışmada bazı positive integral operatörlerin özdeğerlerinin asimtotik yaklaşımlarını elde edeceğizFrom now on, let J be a fixed closed subinterval of the real line R.
📊
Key Findings & Data:Let us define a function KD on D x D byfor either of the branches of The function KD is independent of the choice of mappingfunction ϕ, see [1, p.410].
💡
Conclusion & Impact:By restricting the function KD to the square JxJ we obtain acompact symmetric operator TD on L2 defined by
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pozitif İntegral Operatörleri · Özdeğerler · Hardy Uzayları
Özet
Bu çalışmada bazı positive integral operatörlerin özdeğerlerinin asimtotik yaklaşımlarını elde edeceğizFrom now on, let J be a fixed closed subinterval of the real line R. Suppose that Dis a simply-connected domain containing the real closed interval J and ϕ is anyfunction, which maps D conformally onto ∆, where ∆ is the open unit disk of complexplane C. Let us define a function KD on D x D byfor either of the branches of The function KD is independent of the choice of mappingfunction ϕ, see [1, p.410]. By restricting the function KD to the square JxJ we obtain acompact symmetric operator TD on L2 defined by
🔖
Cite This Article
SOYKAN, Y. (2006). On the Eigenvalues of Integral Operators. Cankaya University Journal of Humanities and Social Sciences, Cilt: 1 - Sayı: 6, 177–185. https://ajindex.com/articles/58447