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/lp/de-gruyter/on-the-completeness-of-certain-systems-es803Z8MjU
References (5)
-
S. Kuś (1984)
ORTHONORMAL GEOMETRIC SEQUENCES AND THEIR Ζ TRANSFORMSDemonstratio Mathematica, 17
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(1963)
l e m e n t : On completeness of bas is funct ions used f o r s igna ls ana lys i s -
(1934)
W i e n e r : Fourier transform in the complex domain -
(1978)
On the completeness of ce r t a in systems of 2 O func t ions in the spaces L (0,oo) and L ( - i o o -
(1970)
u r y : Przeksztaicenie 1 i jego zastosowanie
- Publisher
- de Gruyter
- Copyright
- © by Stanislaw Kuś
- ISSN
- 0420-1213
- eISSN
- 2391-4661
- DOI
- 10.1515/dema-1985-0202
- Publisher site
- See Article on Publisher Site
Abstract
DEMONSTRATIO MATHEMATICAVol. XVIIINo 21985Stanislaw KusON THE COMPLETENESS OF CERTAIN SYSTEMSIN L2(lzl = l)1. I n t r o d u c t i o nWe s h a l pl c o n s i d e r systems of c e r t a i n sequences f ( n ) i nt h e space 1 w i t h the s c a l a r product and the norm g i v e n by(1.1){f(1.2)f}=i' 2 n||f||0ooSf^nJf^U),n=0= ] / { f , f )ua s w e l l a s systems of c e r t a i n f u n c t i o n s F(z) i n the spaceL 2 (C) (C = { z : | z | = l } ) w i t h the s c a l a r product and the normg i v e n by(1.3)(1.4)(fvf2)z= ¿ r j Vz)cMzi ^ Tf ,= Y(P,Piz.Under t h e a d d i t i o n a l assumption t h a t the f u n c t i o n s F(z)a r e ¡1 t r a n s f o
Journal
Demonstratio Mathematica – de Gruyter
Published: Apr 1, 1985