Titlebook: Hermitian Analysis; From Fourier Series John P. D‘Angelo Textbook 2019Latest edition Springer Nature Switzerland AG 2019 Hermitian Analysi

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Fourier transform on ,We define and study the Fourier transform in this chapter.Rather than working with functions defined on the circle, we consider functions defined on the real line ..

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https://doi.org/10.1007/978-3-030-16514-7Hermitian Analysis; Cauchy-Riemann Geometry; CR geometry; Complex Analysis; Fourier series; Geometric ine

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978-3-030-16516-1Springer Nature Switzerland AG 2019

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Hermitian Analysis978-3-030-16514-7Series ISSN 2197-182X Series E-ISSN 2197-1838

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John P. D‘AngeloIncludes a new chapter that provides an in-depth exploration of Cauchy-Riemann geometry.Uses the concept of orthogonality to unify various mathematical topics.Includes accessible content designed to l

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Hilbert spaces, operators. We include Sturm-Liouville theory to illustrate orthonormal expansion. We close by discussing spherical harmonics, indicating one way to pass from the circle to the sphere. These results leave one in awe at the strength of 19-th century mathematicians.