Associative and commutative distribution algebra with multipliers, and generalized solutions of nonlinear equations

DOI10.1007/BF02304423zbMath0868.46028OpenAlexW1986487677MaRDI QIDQ1909791

Vladimir Shelkovich

Publication date: 14 May 1996

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02304423

zbMATH Keywords

Fourier transformmultipliersderivativesvalue at a pointalgebra of distributionsantiderivativesassociative-commutative algebraassociative-commutative productgeneralized solutions of nonlinear equations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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Cites Work

• Algebra of one-dimensional generalized functions
• Multiplications of distributions in elasticity and hydrodynamics
• Applications of non-standard analysis to relativistic quantum mechanics. I
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