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Based on interpolatory Hermite splines on rectangular domains, the interpolatory curl-free wavelets and its duals are first constructed. Then we use it to characterize a class of vector-valued Besov spaces. Finally, the stability of wavelets that we constructed are studied. MR(2000) Subject Classification: 42C15; 42C40.doi:10.1186/1029-242x-2012-68 fatcat:grhkw6s2evgutdgdlaribg7xba