Fourier transformation and translation invariant operators, approximation to identity, character theory and wave equations, various boundary value problems for homogeneous wave equations, Laplace equations and parabolic equations.

References:

[1] J. Neicas, W. Jhagar and J. Starba, Partial Differential Equations: Theory and Numerical Solutions, Chapman & Hall/CRC, 2000.

[2] E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971.

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