Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.
Table of Contents
1. Extensions of some Matrix Inequalities via Matrix Means. 2. Random Measures in Infinite-Dimensional Dynamics. 3. on Hardy-Hilbert inequalities. 4. New Durrmeyer Type Operators. 5. Korovkin type theorems and its applications. 6. A Porosity Result for Sequences of Non-Expansive Mappings on unbounded Sets. 7. Summability of double sequences and double series over nonarchimedean fields. 8. Applications of Singular Integral Operators and Commutators. 9. Normed and pranormed sequence spaces and certain triangle matrices. 10. Birkhoff-James Orthogonality and Its Application in the Study of Geometry of Banach space. 11. Singular Integral Operators and Commutators. 12. Localy pseudoconvex spaces and algebras. 13. Steinhaus Type Theorems over Valued Fields. 14. Applied Analysis and Boundary Value Problems. 15. Fractional Mellin Transform, Dixmier Trace and Applications.
Michael Ruzhansky is currently a professor in the department of mathematics at Imperial College London.
Hemen Dutta is a faculty member in the department of mathematics at Gauhati University