Geodesic
On the Asymptotic Behaviour of the Gthetak-means of Eigenfunction Expansion Related to the Slowly Oscillating Functions With Remainder Term
Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 104 .

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Let $f(Q)=f(x_1,\ldots,x_n)\in L^2(D)$ where $D$ is a bounded open domain with a sufficiently regular boundary in the space $E^n$. Two theorems are proved in this paper. The main result is expressed by Theorem 2 which connects the asymptotic behaviour of the $G_\theta^\kappa $ means of eigenfunction expansion $(2.1)$ with the behaviour of the spherical mean of function $f$ when this is related to behaviour of a slowly oscillating function with remainder term.
Classification : 42C99 
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     author = {Manojlo Maravi\'c},
     title = {On the {Asymptotic} {Behaviour} of the {Gthetak-means} of {Eigenfunction} {Expansion} {Related} to the {Slowly} {Oscillating} {Functions} {With} {Remainder} {Term}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {104 },
     publisher = {mathdoc},
     volume = {_N_S_46},
     number = {60},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a15/}
}
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Manojlo Maravić. On the Asymptotic Behaviour of the Gthetak-means of Eigenfunction Expansion Related to the Slowly Oscillating Functions With Remainder Term. Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 104 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a15/