7 - Fourier Series
from Part III - Discrete Functional Analysis
Published online by Cambridge University Press: 06 January 2022
Summary
Inner Product Spaces and their Fourier Series are studied in this chapter, including Hilbert Spaces and Adjoint Operators. Convergence of Trigonometric and Square Wave Fourier Series of Integrable Functions are investigated. Theorems connecting Summability of Fourier Series and Summability Kernels are studied. The Radamacher, Walsh, and Haar Systems are defined and studied. The Fourier Transform is introduced.
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- Information
- Classical and Discrete Functional Analysis with Measure Theory , pp. 255 - 332Publisher: Cambridge University PressPrint publication year: 2022