Geodesic
On the components of summable functions represented by elements of families of wavelet functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2008), pp. 53-59.

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

@article{IVM_2008_2_a7,
     author = {P. A. Terekhin},
     title = {On the components of summable functions represented by elements of families of wavelet functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {53--59},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_2_a7/}
}
TY  - JOUR
AU  - P. A. Terekhin
TI  - On the components of summable functions represented by elements of families of wavelet functions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2008
SP  - 53
EP  - 59
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2008_2_a7/
LA  - ru
ID  - IVM_2008_2_a7
ER  - 
%0 Journal Article
%A P. A. Terekhin
%T On the components of summable functions represented by elements of families of wavelet functions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2008
%P 53-59
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2008_2_a7/
%G ru
%F IVM_2008_2_a7
P. A. Terekhin. On the components of summable functions represented by elements of families of wavelet functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2008), pp. 53-59. http://geodesic.mathdoc.fr/item/IVM_2008_2_a7/

[1] Filippov V. I., Oswald P., “Representation in by series of translates and dilates of one function”, J. Approx. Theory, 82 (1995), 15–29 | DOI | MR | Zbl

[2] Rudin U., Funktsionalnyi analiz, Mir, M., 1975, 443 pp.

[3] Jia R. Q., Micchelli C. A., “Using the refinement equation for construction of pre-wavelets. II: Power of two”, Curves and Surfaces, Academic Press, Boston, 1991, 209–246 | MR

[4] Shefer Kh., Topologicheskie vektornye prostranstva, Mir, M., 1971, 359 pp. | MR

[5] Terekhin P. A., “Neravenstva dlya komponentov summiruemykh funktsii i ikh predstavleniya po elementam sistemy szhatii i sdvigov”, Izv. vuzov. Matematika, 1999, no. 8, 74–81 | MR | Zbl