This paper is concerned with the limiting spectral behaviors of large dimensional Kendall’s rank correlation matrices generated by samples with independent and continuous components. The statistical ...

The principal reference for this syllabus is: [1] J.K. Hunter and B. Nachtergaele, Applied Analysis. With the exception of the topics from advanced calculus, a question may appear on the exam if and ...

This paper highlights a new short proof of a generalization of Gelfand's theorem through the use of spectral distributions. But above all it aims at studying, when the spectrum is discrete, if the ...

Spectral problems in boundary value problems constitute a fundamental area of applied mathematics and mathematical physics, where the focus lies on determining eigenvalues and corresponding ...

When studying for a doctoral degree (PhD), candidates submit a thesis that provides a critical review of the current state of knowledge of the thesis subject as well as the student’s own contributions ...