© 2018

Functional Analysis and Applications


Part of the Industrial and Applied Mathematics book series (INAMA)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Abul Hasan Siddiqi
    Pages 1-14
  3. Abul Hasan Siddiqi
    Pages 15-69
  4. Abul Hasan Siddiqi
    Pages 71-143
  5. Abul Hasan Siddiqi
    Pages 145-175
  6. Abul Hasan Siddiqi
    Pages 177-225
  7. Abul Hasan Siddiqi
    Pages 227-247
  8. Abul Hasan Siddiqi
    Pages 249-276
  9. Abul Hasan Siddiqi
    Pages 277-309
  10. Abul Hasan Siddiqi
    Pages 311-350
  11. Abul Hasan Siddiqi
    Pages 351-380
  12. Abul Hasan Siddiqi
    Pages 381-397
  13. Abul Hasan Siddiqi
    Pages 399-463
  14. Abul Hasan Siddiqi
    Pages 497-508
  15. Abul Hasan Siddiqi
    Pages 509-519
  16. Back Matter
    Pages 521-562

About this book


This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced.

The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.


Functional Analysis Optimization Theory and Algorithms Operator Equations Finite Elements Methods Boundary Elements Methods Variational Inequalities Inverse Problems and Regularization Frames and Wavelet Theory Numerical Methods Gabor Analysis Image Processing

Authors and affiliations

  1. 1.School of Basic Sciences and ResearchSharda UniversityGreater NoidaIndia

About the authors

ABUL HASAN SIDDIQI is a distinguished scientist and professor emeritus at the School of Basic Sciences and Research at Sharda University, Greater Noida, India. Professor Siddiqi has held several important administrative positions such as Chairman, Department of Mathematics, Dean Faculty of Science, Pro-Vice-Chancellor in one of the Central Universities of India—Aligarh Muslim University. He has been actively associated with International Centre for Theoretical Physics, Trieste, Italy (UNESCO organisation) in different capacities for more than 20 years, was professor of Mathematics at King FahadFahd University of Petroleum and Minerals, Saudi Arabia for 10 years, consultant to Sultan Qaboos University, Oman for 5 terms, Istanbul Aydin University, Turkey for three years and Institute of Micro-electronics, Malaysia for five months. Having been awarded three German Academic Exchange Fellowships to carry out mathematical research in Germany, he has also jointly published more than 100 research papers with his research collaborators, 5 books and edited proceedings of 9 international conferences. He is the founder secretary of the Indian Society of Industrial and Applied Mathematics (ISIAM), which celebrated its Silver Jubilee in January 2016. He is editor-in-chief of the Indian Journal of Industrial and Applied Mathematics, published by the ISIAM, and of the book series Industrial and Applied Mathematics with Springer. Recently he has been elected President of ISIAM which represents India at the Apex forum of Industrial and Applied Mathematics-ICIAM.

Bibliographic information

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