Partial differential equations :

515.353
W872

135347

Wong, M. W. Partial differential equations : topics in fourier analysis / M.W. Wong. - Boca Raton : CRC Press, c2014.
viii, 174p. ; 25 cm. "A Chapman & Hall book" Content notes : 1. The multi-index notation --
2. The gamma function --
3. Convolutions --
4. Fourier transforms --
5. Tempered distributions --
6. The heat kernel --
7. The free propagator --
8. The Newtonian potential --
9. The Bessel potential --
10. Global hypoellipticity in the Schwartz space --
11. The Poisson kernel --
12. The Bessel-Poisson kernel --
13. Wave kernels --
14. The heat kernel of the Hermite operator --
15. The Green function of the Hermite operator --
16. Global regularity of the Hermite operator --
17. The Heisenberg group --
18. The sub-Laplacian and the twisted Laplacians --
19. Convolutions on the Heisenberg group --
20. Wigner transforms and Weyl transforms --
21. Spectral analysis of twisted Laplacians --
22. Heat kernels related to the Heisenberg group --
23. Green functions related to the Heisenberg group--

Bibliography--
Index-- 9781466584013 * Fourier analysis. Partial Differential equations.