LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES

DOI10.1142/S0219025702001000zbMath1058.46018OpenAlexW2097500467MaRDI QIDQ4818909

O. G. Smolyanov, Andrei Yu. Khrennikov, Vladimir Shelkovich

Publication date: 24 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025702001000

zbMATH Keywords

product of distributionsassociative algebra of vector valued distributions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (3)

In memoriam: Vladimir M. Shelkovich (1949--2013) ⋮ Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations ⋮ Associated homogeneous \(p\)-adic distributions

Cites Work

• Nonlinear superposition and absorption of delta waves in one space dimension
• Semilinear hyperbolic systems and equations with singular initial data
• Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• Applications of non-standard analysis to relativistic quantum mechanics. I
• Asymptotic soliton-form solutions of equations with small dispersion

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