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Fourier-Transformationen und Fourier-ReihenDie Veranstaltung richtet sich Masterstudierende der Kernfachstudiengänge Wirtschaftsmathematik und (Angewandte) Mathematik sowie des Lehramts Mathematik. Termine: Vorlesung Mo 10-12, D032, und Do 10-12, HS8, Übung Di, 16-18 Uhr, E50SkriptSkript zur Vorlesung Fourier- und Laplacetransformationen, SoSe 2019 (Version vom 04.09.2019) LiteraturFolland, G.B.: Fourier Analysis and Its Applications, American Mathematical Society, Providence, 1992.Folland, G.B.: Introduction to Partial Differential Equations, Princeton University Press, Princeton, 1995. Grafakos, L.: Classical Fourier Analysis, 2nd ed., Springer, New York, 2008. Grafakos, L.: Modern Fourier Analysis, 2nd ed., Springer, New York, 2009. Helson, H.: Harmonic Analysis, Addison-Wesley, Reading, 1983. Katznelson, Y.: An Introduction to Harmonic Analysis, 3rd ed., Cambridge Mathematical Library, 2004. Lasser, R.: Introduction to Fourier Series. Monographs and Textbooks in Pure and Applied Mathematics, 199. Marcel Dekker, New York, 1996. Lenze, B.: Mathematik und Quantum Computing, Logos Verlag, Berlin, 2020. Partington, J.R.: Interpolation, Identification ans Sampling, Clarendon Press, Oxford, 1997. Rudin, W.: Real and Complex Analysis. 3rd edition. McGraw-Hill, New York, 1987. Rudin, W.: Functional Analysis, 2nd ed., McGraw-Hill, New York, 1991. Rudin, W.: Fourier Analysis on Groups, Interscience Publishers, New York, 1960. Stein E.M., Shakarchi, R.: Fourier Analysis - An Introduction, Princeton University Press, Princeton, 2003. Wong, M.W.: Discete Fourier Analysis, Birkhäuser, Basel, 2011. Yamamoto, Y.: From Vector Spaces to Function Spaces, SIAM, Philadelphia, 2012. Übungen |
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