Fourier Analysis and Distributions A First Course with Applications /
This comprehensive book offers an accessible introduction to Fourier analysis and distribution theory, blending classical mathematical theory with a wide range of practical applications. Designed for undergraduate and beginning Master's students in mathematics and engineering. Key Features: Bal...
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| Автор: | |
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| Співавтор: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Редагування: | 1st ed. 2025. |
| Серія: | Texts in Applied Mathematics,
79 |
| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-81311-5 |
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Зміст:
- Preface
- Introduction
- Trigonometric Polynomials, Fourier Coefficients
- Fourier Series
- Calculating with Fourier Series
- Application Examples for Fourier Series
- Discrete Fourier Transforms, First Applications
- Convergence of Fourier Series
- Fundamentals of Distribution Theory
- Application Examples for Distributions
- The Fourier Transform
- Basics of Linear Filters
- Further Applications of the Fourier Transform
- The Malgrange-Ehrenpreis Theorem
- Outlook on Further Concepts
- A The Residue Theorem and the Fundamental Theorem of Algebra
- B Tools from Integration Theory
- C Solutions to the Exercises
- References
- List of Symbols and Physical Quantities
- Index.