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· 제목 : Partial Differential Equations: Topics in Fourier Analysis (Hardcover) (Topics in Fourier Analysis)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미분방정식 > 미분방정식 일반
· ISBN : 9781466584013
· 쪽수 : 184쪽
· 출판일 : 2013-06-03
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미분방정식 > 미분방정식 일반
· ISBN : 9781466584013
· 쪽수 : 184쪽
· 출판일 : 2013-06-03
목차
The Multi-Index Notation
The Gamma Function
Convolutions
Fourier Transforms
Tempered Distributions
The Heat Kernel
The Free Propagator
The Newtonian Potential
The Bessel Potential
Global Hypoellipticity in the Schwartz Space
The Poisson Kernel
The Bessel-Poisson Kernel
Wave Kernels
The Heat Kernel of the Hermite Operator
The Green Function of the Hermite Operator
Global Regularity of the Hermite Operator
The Heisenberg Group
The Sub-Laplacian and Twisted Laplacians
Convolutions on the Heisenberg Group
Wigner Transforms and Weyl Transforms
Spectral Analysis of Twisted Laplacians
Heat Kernels Related to the Heisenberg Group
Green Functions Related to the Heisenberg Group
Bibliography
Index
