On helical and Delta-helical surfaces in Hilbert space

DOI10.1016/0022-247X(80)90056-6zbMath0462.46012OpenAlexW2024651482MaRDI QIDQ1153312

Timo Ravaska

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90056-6

zbMATH Keywords

delta-helical surfaces in Hilbert spacedifferential helical surfacesFrechet differential calculushelical surfaces in Hilbert spacemultiparameter spectral representationspectral representations of surfacesstationary surfaces in Hilbert space

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Groups and semigroups of linear operators (47D03) Stochastic processes (60G99) Vector-valued measures and integration (46G10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus on manifolds; nonlinear operators (58C99) Inner product spaces and their generalizations, Hilbert spaces (46Cxx)

Cites Work

• Differential geometry of \(C^\infty\) helices in Hilbert space
• Multilinear Algebra
• Fourier Integrals and Metric Geometry
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