scientific article

zbMath0455.47035MaRDI QIDQ3903578

Hans Triebel

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Sobolev spacesdifferential operatorsspecial functionshyperbolic differential equationelliptic differential equationparabolic differential equationmathematical foundation of quantum mechanics

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Initial-boundary value problems for second-order parabolic equations (35K20) General topics in linear spectral theory for PDEs (35P05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Isomorphic theory (including renorming) of Banach spaces (46B03) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (Semi-) Fredholm operators; index theories (47A53) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Duality and reflexivity in normed linear and Banach spaces (46B10) Ordinary differential operators (34L99)

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