Pseudo-differential Boundary Value Problems, Conical Singularities, and Asymptotics |
Contents
Sobolev spaces based on the Mellin transform | 11 |
26 | 80 |
Pseudodifferential operators on the half axis | 226 |
Copyright | |
2 other sections not shown
Common terms and phrases
A₁ algebra analogous arbitrary cut-off functions As(a As(X asymptotic sum asymptotic types Banach spaces bijection boundary symbolic boundary value problems calculus CG(B CG(X coefficients compact complete symbol cone conical singularities conormal symbols continuous asymptotics continuous embeddings coordinates corresponding defined Definition denotes the space diffeomorphism discrete asymptotics DO's elements elliptic finite finite-dimensional fixed follows formal adjoint Fréchet space Fréchet topology Fredholm operator Green operators H³(X implies independent IR² IRª IRº isomorphism kernel L² R+ L²(R+ manifold Mellin operators Mellin symbols Mellin transform meromorphic Mö(X Moreover notations obtain op(a operator convention operator family operator-valued symbols parameter-dependent parametrix proof Proposition pseudo-differential operators Remark respect S(R+ scalar Section sequence Sobolev spaces subspace Symb Theorem transmission property w₁ w₂ weight