Trigonometric Fourier Series and Their Conjugates /
This book presents in a coherent way the results obtained in the following aspects of the theory of multiple trigonometric Fourier series: the existence and properties of the conjugates and Hilbert transforms of integrable functions of several variables; convergence of Fourier series and their conju...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1996.
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| Series: | Mathematics and its applications ;
372. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book presents in a coherent way the results obtained in the following aspects of the theory of multiple trigonometric Fourier series: the existence and properties of the conjugates and Hilbert transforms of integrable functions of several variables; convergence of Fourier series and their conjugates, as well as their summability by Cesàro and Abel-Poisson methods; and approximating properties of Cesàro means of Fourier series and their conjugates. <br/> Special emphasis is put on new effects which arise from dealing with multiple series and which are not inherent in the one-dimensional case. Unsolved problems are formulated separately. <br/> <em>Audience:</em> This volume will prove useful to both graduate students and research workers in the field of Fourier analysis, approximations and expansions, integral transforms, and operational calculus. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (312 pages) |
| ISBN: | 9789400902831 (electronic bk.) 9400902832 (electronic bk.) |