Functional Calculus
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 fo...
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| Médium: | Online |
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| Jazyk: | angličtina |
| Vydáno: |
IntechOpen
2021
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| Témata: | |
| On-line přístup: | ONIX_20210420_9781838800086_2906 |
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| _version_ | 1869527992986763264 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-67546 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | ojs |
| spelling | doab-20.500.12854ir-675462024-04-04T14:41:07Z Functional Calculus Shah, Kamal Okutmuştur, Baver Calculus thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis 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. 2021-04-20T16:17:36Z 2021-04-20T16:17:36Z 2020 book ONIX_20210420_9781838800086_2906 9781838800086 9781838800079 9781838809041 https://directory.doabooks.org/handle/20.500.12854/67546 eng image/jpeg n/a https://www.intechopen.com/books https://mts.intechopen.com/storage/books/7785/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.77599 10.5772/intechopen.77599 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781838800086 9781838800079 9781838809041 IntechOpen 202 open access |
| spellingShingle | Calculus thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis Functional Calculus |
| title | Functional Calculus |
| title_full | Functional Calculus |
| title_fullStr | Functional Calculus |
| title_full_unstemmed | Functional Calculus |
| title_short | Functional Calculus |
| title_sort | functional calculus |
| topic | Calculus thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis |
| topic_facet | Calculus thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis |
| url | ONIX_20210420_9781838800086_2906 |