Course In Analysis, A - Vol. Iv: Fourier Analys. Jacob, Evans<|

Course In Analysis, A - Vol. Iv: Fourier Analysis, Ordinary Differential Equations, Calculus Of VariationsAuthor(s): Niels Jacob, Kristian P Evans\nFormat: Paperback\nPublisher: World Scientific Publishing Co Pte Ltd, Singapore\nImprint: World Scientific Publishing Co Pte Ltd\nISBN-13: 9789813274525, 978-9813274525\nSynopsis\nIn the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic mean of Fourier series. More advanced topics include a first discussion of Hardy spaces. We also spend some time handling general orthogonal series expansions, in particular, related to orthogonal polynomials. Then we switch to the Fourier integral, [url] the Fourier transform in Schwartz space, as well as in some Lebesgue spaces or of [url] treatment of ordinary differential equations starts with a discussion of some classical methods to obtain explicit integrals, followed by the existence theorems of Picard-Lindelf and Pea.