On the extension of Schwartz distributions to the space of discontinuous test functions of several variables

DOI10.1216/RMJ-2009-39-4-1173zbMath1183.46040MaRDI QIDQ2270580

Damir Kinzebulatov, V. Ya. Derr

Publication date: 28 July 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

products of distributionsregulated functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Discontinuous ordinary differential equations (34A36)

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Cites Work

• Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
• Distributional products and global solutions for nonconservative inviscid Burgers equation
• Existence and upper hemicontinuity of equilibrium distributions of anonymous games with discontinuous payoffs
• Distribution theory for discontinuous test functions and differential operators with generalized coefficients
• A Generalization of Regulated Functions
• Finite rank singular perturbations and distributions with discontinuous test functions
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