Abstract
Finite sets, A, of n-tuples for which ( Σ α ∈ A ( ∏ j = 1 n | x j | α j ) ) − p , p > 0 {({\Sigma _{\alpha \in A}}(\prod _{j = 1}^n|{x_j}{|^{{\alpha _j}}}))^{ - p}},p > 0 , is integrable over R n {R^n} are given a simple characterization. Applications to certain Fourier multiplier theorems are mentioned.
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