Generalized Locally Toeplitz Sequences: Theory and Applications

Dr. Carlo Garoni graduated in Mathematics at the University of Insubria (Italy) in 2011 and received his Ph.D. in Mathematics at the same university in 2015. He has pursued research at the Universities of Insubria and Rome “Tor Vergata”, and he now has a Marie-Curie postdoctoral position at the USI University of Lugano (Switzerland). He has published about 25 research papers in different areas of Mathematics, most of which are connected with the theory of GLT sequences and its applications.Prof. Stefano Serra-Capizzano is a Full Professor of Numerical Analysis, Deputy Rector of the University of Insubria (Italy), and a long-term Visiting Professor at Uppsala University (Sweden). He has authored over 200 research papers in different areas of Mathematics, with more than 90 collaborators all over the world, and he has recently won a Prodi Chair Professorship in Nonlinear Analysis at Würzburg University (Germany). He is the founder of the Ph.D. program “Mathematics of Computation” at the University of Insubria’s Department of Science and High Technology.

• 1 Notes to the Reader.- 2 Mathematical Background.- 3 Multilevel Toeplitz Sequences.- 4 Multilevel Locally Toeplitz Sequences.- 5 Multilevel Generalized Locally Toeplitz Sequences.- 6 Summary of the Theory.- 7 Applications.- 8 Future Developments.

“This book can be useful to mathematicians, theoreticians and to applicants involved in numerical methods.” (Serge˘ı Grudski˘i, Mathematical Reviews, March 2, 2020)