## Hilbert space approach to some classical transforms |

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a,p a,p abelian system adjoint applications asym asymptotic behaviour Borel function boundary condition bounded closure consider convolution definition denotes densely defined differential expression differential operator domain eigensolutions element estimate f e H f e y f,g e fact ff(A Fourier transform function f functional analysis Green's function H Brezis Hankel transform Hilbert space Im(o inner product integral operator integral transforms isometry kernel linear operator ll*ll Mellin transform Neumann Nonlinear partial differential norm notation obtain ortho-complement partial differential equations particular Po(A polynomials properties Remark respect selfadjoint extension selfadjoint operator selfadjoint realization sgn(D shows Sobolev spaces solution space H spectral family spectral representation spectral resolution spectral theorem spectral theory subspace symmetric tempered Sobolev spaces tensor product theory unitary mapping x e H zero

### References to this book

Mathematical Topics Between Classical and Quantum Mechanics Nicholas P. Landsman No preview available - 1998 |