This book is a collated form of the lectures given in a series of events titled “Advanced Functional Analysis and its Applications” conducted at Indian Institute of Technology Hyderabad between years 2019 to 2024. These winter schools focused on various developments on the aforesaid topic. This book is intended to serve the purpose of adding to the knowledge of researchers who are working in Functional Analysis or its allied fields. Additionally, these highlight material that is not included in a typical Functional Analysis or Operator Theory course, but which, if understood, would bring a better level of maturity to those areas. This book serves as a refresher course for college lecturers interested in learning the current developments of Mathematical Analysis. We express our gratitude to our sponsors for their endorsement of the funding for these workshops. We have secured funding from TEQIP MHRD, NBHM, ANRF, as well as from IIT Hyderabad. Finally, each of the lecturers of these workshops have consciously stepped forward to contribute to the success of each and every event. This book is a result of the joint efforts of all those delegates.
