An Overview on Tools from Functional Analysis

DOI10.1007/978-3-319-57181-2_2zbMath1415.46001OpenAlexW2807893742MaRDI QIDQ3120063

Martin Grothaus, Sarah Eberle, Matthias Augustin

Publication date: 1 March 2019

Published in: Handbook of Mathematical Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57181-2_2

zbMATH Keywords

operatorsconvergenceSobolev spacesmetric spacesdistributionsreproducing kernel Hilbert spacesnormed spacespartial differential equationsfunctional analysisfunction spacesweak derivativesbasis systems

Mathematics Subject Classification ID

Geodesy, mapping problems (86A30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01)

Cites Work

• Limit formulae and jump relations of potential theory in Sobolev spaces
• Multiscale potential theory. With applications to geoscience
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• An introduction to partial differential equations
• A counterexample to the approximation problem in Banach spaces
• Lineare Funktionalanalysis
• The Outer Oblique Boundary Problem of Potential Theory
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