Advanced Topics in Mathematical Analysis

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.

Chapter 1 Title: Random measures in infinite-dimensional dynamics Authors: Palle E.T. Jorgensen and Feng Tian Chapter 2 Title: Extensions of some matrix inequalities via matrix means Author: Takeaki Yamazaki Chapter 3 Title: Functional equations on affine groups Author: László Székelyhidi Chapter 4 Title: Locally pseudoconvex spaces and algebras Author: Mati Abel Chapter 5 Title: Applications of singular integral operators and commutators Author: Andrea Scapellato Chapter 6 Title: Composite sub and supermeasures with applications to classical inequalities Author: Silvestru Sever Dragomir Chapter 7 Title: Generalized double statistical weighted summability and its application to Korovkin type approximation theorem Authors: Ugur Kadak and Hemen Dutta Chapter 8 Title: Birkhoff-James orthogonality and its application in the study of geometry of Banach space Authors: Kallol Paul and Debmalya Sain Chapter 9 Title: Fixed point of mappings on a metric space endowed with a graphic structure Authors: Mujahid Abbas and Talat Nazir Chapter 10 Title: Some subclasses of analytic functions and their properties Authors: Nizami Mustafa, Veysel Nezir and Hemen Dutta Chapter 11 Title: Free stochastic integrals for weighted-semicircular motion induced by orthogonal projections Author: Ilwoo Cho Chapter 12 Title: On difference operators and their applications Authors: P. Baliarsingh and Hemen Dutta Chapter 13 Title: Composite Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of functions with bounded variation Authors: Silvestru Sever Dragomir Chapter 14 Title: kn-2 scalar matrix and its functional equations by mathematical modeling Authors: Pasupathi Narasimman and Hemen Dutta Chapter 15 Title: Renorming c0 and the fixed point property Authors: Veysel Nezir, Nizami Mustafa and Hemen Dutta Chapter 16 Title: Steinhaus type theorems over valued fields - a survey Author: P.N. Natarajan Chapter 17 Title: The interplay between topological algebra theory and algebras of holomorphic functions Authors: Alberto Saracco

Michael Ruzhansky is currently a professor in the department of mathematics at Imperial College London. Hemen Duttais a faculty member in the department of mathematics at Gauhati University