Convolution Equations in Certain Banach Spaces
DOI10.2307/2048413zbMath0748.46017OpenAlexW4235362198MaRDI QIDQ3971107
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2048413
potentialFourier transforminverse problemconvolution equationsfinite Borel measureinfinite- dimensional Hilbert spacesFourier transform of norms in some finite dimensional-spacesisometric embedding into \(L_ p\)-spacelimit correlations
Integral transforms in distribution spaces (46F12) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Measures and integration on abstract linear spaces (46G12) Probability theory on linear topological spaces (60B11)
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Cites Work
- Uniqueness theorems for measures in \(L_ r\) and \(C_ o(\Omega)\)
- Representation of \(L_ p\)-norms and isometric embedding in \(L_ p\)- spaces
- Moments of measures on Banach spaces
- Potential operators and equimeasurability
- The L p Norm of Sums of Translates of a Function
- Certain Integral Equalities which Imply Equimeasurability of Functions
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