New analytical WA-systems of Kravchenko functions
In this representation the new class of analytical WA-systems of Kravchenko functions on the basis of the theory of atomic functions (AF) [1-5] are constructed and proof. The all wavelet conditions [3-8, 12-15] are satisfied exact. The constructed wavelets have a compact support and they are infinit...
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Zusammenfassung: | In this representation the new class of analytical WA-systems of Kravchenko functions on the basis of the theory of atomic functions (AF) [1-5] are constructed and proof. The all wavelet conditions [3-8, 12-15] are satisfied exact. The constructed wavelets have a compact support and they are infinitely differentiable. New wavelet function using for the analysis of time series on examples of Solar activity, quasar apparent magnitude and electrocardiography [9-11, 16]. |
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