Fourier Series and Systems of Differential Equations and Eigenvalue Problems
by Leif Mejlbro
Publisher: BookBoon 2007
Number of pages: 125
In this volume the author gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. This text can be used as a supplement to the normal textbooks in which one can find all the necessary proofs.
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by John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
by J.P. Kahane - Tata Institute of Fundamental Research
Mean periodic functions are a generalization of periodic functions. The book considers questions such as Fourier-series, harmonic analysis, the problems of uniqueness, approximation and quasi-analyticity, as problems on mean periodic functions.
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The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to physics or mathematics undergraduates.
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A book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the text. The authors have taken care to motivate concepts and simplify proofs.