Open access peer-reviewed Edited Volume

Functional Calculus

Edited by Kamal Shah

University of Malakand


Baver Okutmuştur

Middle East Technical University

The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.

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Functional CalculusEdited by Kamal Shah

Published: June 17th 2020

DOI: 10.5772/intechopen.77599

ISBN: 978-1-83880-008-6

Print ISBN: 978-1-83880-007-9

eBook (PDF) ISBN: 978-1-83880-904-1

Copyright year: 2020

Books open for chapter submissions

3708 Total Chapter Downloads

8 Dimensions Citations


Open access peer-reviewed

1. Determinantal Representations of the Core Inverse and Its Generalizations

By Ivan I. Kyrchei


Open access peer-reviewed

2. New Matrix Series Formulae for Matrix Exponentials and for the Solution of Linear Systems of Algebraic Equations

By Ioan R. Ciric


Open access peer-reviewed

3. Fixed Point Theorems of a New Generalized Nonexpansive Mapping

By Shi Jie


Open access peer-reviewed

4. Folding on the Chaotic Graph Operations and Their Fundamental Group

By Mohammed Abu Saleem


Open access peer-reviewed

5. A Survey on Hilbert Spaces and Reproducing Kernels

By Baver Okutmuştur


Open access peer-reviewed

6. Analytical Applications on Some Hilbert Spaces

By Fethi Soltani


Open access peer-reviewed

7. Spectral Observations of PM10 Fluctuations in the Hilbert Space

By Thomas Plocoste and Rudy Calif


Open access peer-reviewed

8. Optimal Control of Evolution Differential Inclusions with Polynomial Linear Differential Operators

By Elimhan N. Mahmudov


Open access peer-reviewed

9. Spectral Analysis and Numerical Investigation of a Flexible Structure with Nonconservative Boundary Data

By Marianna A. Shubov and Laszlo P. Kindrat


Open access peer-reviewed

10. Integral Inequalities and Differential Equations via Fractional Calculus

By Zoubir Dahmani and Meriem Mansouria Belhamiti


Open access peer-reviewed

11. Approximate Solutions of Some Boundary Value Problems by Using Operational Matrices of Bernstein Polynomials

By Kamal Shah, Thabet Abdeljawad, Hammad Khalil and Rahmat Ali Khan


Edited Volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI

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