Buffalo, NY - Sana Spector, PhD, program director of data analytics & data science at Canisius University, has had her paper, “Increasingly global convergence of Hermite series,” accepted for publication in the Journal of Mathematical Analysis and Applications, a leading international journal in mathematical analysis. Spector co-authored the paper with Professor Vít Musil, PhD, of Masaryk University in Brno, Czech Republic.
The research investigates the convergence behavior of Hermite series expansions, fundamental tools in harmonic analysis and approximation theory with important applications in partial differential equations and mathematical physics. The paper establishes necessary and sufficient conditions for norm convergence of truncated Hermite series across various functional settings, including rearrangement-invariant spaces and Orlicz-type frameworks. This work advances the theoretical understanding of orthogonal expansions and their effectiveness in global function approximation.
Spector’s scholarship spans both pure and applied mathematics, including Random Matrix Theory, Wavelet Analysis, Functional Analysis, Probability and Statistics, Big Data, and their applications across diverse fields.
The paper can be accessed here.
Canisius was founded in 1870 in Buffalo, NY, and is one of 27 Jesuit colleges and universities in the U.S. Consistently ranked among the top institutions in the Northeast, Canisius offers undergraduate, graduate and pre-professional programs distinguished by close student-faculty collaboration, mentoring and an emphasis on ethical, purpose-driven leadership.
