Geodesic
Analytic Wavelets in Multiply Connected Domains with Circular Boundaries
Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 400-416

Voir la notice de l'article provenant de la source Math-Net.Ru

Wavelet bases in Hardy-type spaces of analytic functions in a domain with circular boundaries are constructed from a wavelet basis in the Hardy space of functions analytic in the disk. An estimate of the rate of convergence of the partial sums of the constructed wavelets is also obtained.
Keywords: analytic wavelet, basis in a Hardy-type space of analytic functions, wavelet expansion. 
@article{MZM_2014_95_3_a7,
     author = {G. A. Dubosarskij},
     title = {Analytic {Wavelets} in {Multiply} {Connected} {Domains} with {Circular} {Boundaries}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {400--416},
     publisher = {mathdoc},
     volume = {95},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a7/}
}
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G. A. Dubosarskij. Analytic Wavelets in Multiply Connected Domains with Circular Boundaries. Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 400-416. http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a7/