Geodesic
On convolutions in Hilbert spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 3, pp. 77-80.

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

A convolution in a Hilbert space is defined, and its basic properties are studied.
Mots-clés : convolution
Keywords: Hilbert space, Riesz basis. 
@article{FAA_2017_51_3_a4,
     author = {B. Kanguzhin and M. Ruzhansky and N. Tokmagambetov},
     title = {On convolutions in {Hilbert} spaces},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {77--80},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a4/}
}
TY  - JOUR
AU  - B. Kanguzhin
AU  - M. Ruzhansky
AU  - N. Tokmagambetov
TI  - On convolutions in Hilbert spaces
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2017
SP  - 77
EP  - 80
VL  - 51
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a4/
LA  - ru
ID  - FAA_2017_51_3_a4
ER  - 
%0 Journal Article
%A B. Kanguzhin
%A M. Ruzhansky
%A N. Tokmagambetov
%T On convolutions in Hilbert spaces
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2017
%P 77-80
%V 51
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a4/
%G ru
%F FAA_2017_51_3_a4
B. Kanguzhin; M. Ruzhansky; N. Tokmagambetov. On convolutions in Hilbert spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 3, pp. 77-80. http://geodesic.mathdoc.fr/item/FAA_2017_51_3_a4/

[1] M. S. Agranovich, Funkts. analiz i ego pril., 13:4 (1979), 54–56 | MR | Zbl

[2] M. S. Agranovich, Trudy MMO, 47 (1984), 22–67 | Zbl

[3] N. K. Bari, Uch. zapiski Mosk. gos. un-ta. Matematika, 148:4 (1951), 69–107

[4] M. L. Cartwright, Quart. J. Math., Oxford Ser., 1:1 (1930), 38–59 | DOI | MR | Zbl

[5] J. Delgado, M. Ruzhansky, J. Anal. Math. (to appear) | MR

[6] J. Delgado, M. Ruzhansky, N. Tokmagambetov, J. Math. Pures Appl., 107:6 (2017), 758–783 | DOI | MR | Zbl

[7] I. M. Gelfand, Uch. zapiski Mosk. gos. un-ta. Matematika, 148:4 (1951), 224–225

[8] N. I. Ionkin, Differents. uravneniya, 13:2 (1977), 294–304 | MR | Zbl

[9] B. Kanguzhin, N. Tokmagambetov, Fourier Analysis: Trends in Mathematics, Birkhäuser/Springer Basel AG, Basel, 2014, 235–251 | DOI | MR | Zbl

[10] B. E. Kanguzhin, N. E. Tokmagambetov, Ufimsk. matem. zhurn., 7:4 (2015), 80–92 | MR | Zbl

[11] B. Kanguzhin, N. Tokmagambetov, K. Tulenov, Complex Var. Elliptic Equ., 60:1 (2015), 107–117 | DOI | MR | Zbl

[12] M. Ruzhansky, V. Turunen, J. Fourier Anal. Appl., 16:6 (2010), 943–982 | DOI | MR | Zbl

[13] M. Ruzhansky, N. Tokmagambetov, Int. Math. Res. Notices, 2016:12 (2016), 3548–3615 | DOI | Zbl

[14] M. Ruzhansky, N. Tokmagambetov, Math. Model. Nat. Phenom., 12:1 (2017), 115–140 | DOI | MR | Zbl

[15] M. Ruzhansky, N. Tokmagambetov, Lett. Math. Phys., 107:4 (2017), 591–618 | DOI | MR | Zbl

[16] E. C. Titchmarsh, Proc. London Math. Soc., 25 (1926), 283–302 | DOI | MR | Zbl