Multi-scale analysis and wavelet expansions of spaces of periodic distributions

zbMath0989.46023MaRDI QIDQ1595669

Alexander Petukhov

Publication date: 13 February 2001

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

invariancebaseschange of variablesquasi-Banach spaceswavelet expansionspointwise multiplication

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Summability and bases in topological vector spaces (46A35)

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