A reconsideration of the 'three squares' problem

DOI10.1007/BF02189343zbMath0456.39005OpenAlexW4213363607MaRDI QIDQ1150819

Philip G. Laird

Publication date: 1980

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182419

zbMATH Keywords

Pompeiu problemthree squares problem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Functional equations and inequalities (39B99)

Related Items (3)

On the Pompeiu problem and its generalizations ⋮ Functions with zero integrals over cubes ⋮ On systems of linear functional equations

Cites Work

• Counterexamples to a problem of L. Schwartz
• The three-squares theorem for continuous functions
• On the functional equation \(f(x+t,y) + f(x-t,y) = f(x,y+t) + f(x,y-t)\)
• Analyticity and the Pompeiu problem
• Mean values and differential equations
• Spectral synthesis and the Pompeiu problem
• Théorie générale des fonctions moyenne-périodiques

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