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books
| book details |
Lebesgue Points and Summability of Higher Dimensional Fourier Series
By (author) Ferenc Weisz
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normal price: R 4 500.95
Price: R 4 050.95
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| book description |
This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesà ro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource. The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the lq-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions. Lebesgue Points and Summability of Higher Dimensional Fourier Series will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful.
| product details |
Normally shipped |
Publisher | Springer Nature Switzerland AG
Published date | 13 Jun 2021
Language |
Format | Hardback
Pages | 290
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-0307-4635-3
Readership Age |
BISAC | mathematics / mathematical analysis
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Normally shipped |
Readership Age |
Normal Price | R 6 132.95
Price | R 5 519.95
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480 pages
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