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@article{PA_2022_11_2_a6, author = {Gh. Rahimlou}, title = {Weaving continuous $K$-frames in {Hilbert} spaces}, journal = {Problemy analiza}, pages = {91--105}, publisher = {mathdoc}, volume = {11}, number = {2}, year = {2022}, language = {en}, url = {http://geodesic.mathdoc.fr/item/PA_2022_11_2_a6/} }
Gh. Rahimlou. Weaving continuous $K$-frames in Hilbert spaces. Problemy analiza, Tome 11 (2022) no. 2, pp. 91-105. http://geodesic.mathdoc.fr/item/PA_2022_11_2_a6/
[1] Ali S. T., Antoine J. P. and Gazeau J. P., “Continuous frames in Hilbert spaces”, Annals. of Physics, 222 (1993), 1–37 | DOI | MR | Zbl
[2] Alizadeh E., Sadri V., “On Continuous weaving G-frames in Hilbert spaces”, Wavelets and Linear Algebra, 7:1 (2020), 23–36 | DOI | MR
[3] Arabyani Neyshaburi F., Arefijamal A., “Characterization and Construction of $K$-Fusion Frames and Their Duals in Hilbert Spaces”, Results in Math., 73(47) (2018) | DOI | MR | Zbl
[4] Arabyani Neyshaburi F., Arefijamal A., “Some constructions of $K$-frames and their duals”, Rocky Mt. J. Math., 47:6 (2017), 1749–1764 | DOI | MR | Zbl
[5] Balazs P., Antoine J. P., Grybos A., “Weighted and controlled frames: mutual relationship and first numerical properties”, International Journal of Wavelets, Multiresolution and Information Processing, 8:1 (2010), 109–132 | DOI | MR | Zbl
[6] Bemrose T., Casazza P. G., Gröchenic K., Lammers M. C, Lynch R. G., “Weaving frames”, Operators and Matrices, 10:4 (2016), 1093–1116 | DOI | MR | Zbl
[7] Casazza P. G., Kutyniok G., “Frames of Subspaces”, Contemp. Math., 345, 2004, 87–114 | DOI | MR
[8] Christensen O., An Introduction to Frames and Riesz Bases, Birkhäuser, 2016 | MR | Zbl
[9] Deepshikha, Vashisht L. K., “Weaving K-Frames in Hilbert Spaces”, Results Math., 73:2 (2018), 81 | DOI | MR | Zbl
[10] Duffin R. J., Schaeffer A. C., “A class of nonharmonic Fourier series”, Trans. Amer. Math. Soc., 72:1 (1952), 341–366 | DOI | MR | Zbl
[11] Faroughi M. H., Ahmadi R., Afsar Z., “Some Properties of C-Frames of Subspaces”, J. Nonlinear Sci. Appl., 1:3 (2008), 155–168 | DOI | MR | Zbl
[12] Faroughi M. H., Osgooei E., “C-Frames and C-Bessel Mappings”, Bull. Iranian Math. Soc., 38:1 (2012), 203–222 | MR | Zbl
[13] Feichtinger H. G., Werther T., “Atomic Systems for Subspaces”, Proceedings SampTA (Orlando, FL, 2001), 163–165 | MR
[14] Găvruţa L., “Frames for Operators”, Appl. Comp. Harm. Annal., 32 (2012), 139–144 | DOI | MR
[15] Hua D., Huang Y., “Controlled $K$-g-frames in Hilbert spaces”, Results. Math., 72 (2017), 1227–1238 | DOI | MR | Zbl
[16] Rahimlou Gh., Ahmadi R., Jafarizadeh M. A., Nami S., “Some properties of Continuous $K$-frames in Hilbert spaces”, Sahand Comm. Math. Anal., 15:1 (2019), 169–187 | DOI | MR | Zbl
[17] Rahimlou Gh., Ahmadi R., Jafarizadeh M. A., Nami S., “Continuous $k$-frames and their dual in Hilbert spaces”, Sahand Comm. Math. Anal., 17:3 (2020), 145–160 | DOI | Zbl
[18] Rudin W., Real and Complex Analysis, Tata Mc Graw-Hill Editions, New York, 1987 | MR
[19] Sadri V., Rahimlou Gh., Ahmadi R., “Continuous weaving fusion frames in Hilbert spaces”, Int. J. Wavelets Multi. Info. Proc., 18:5 (2020), 2050035, 17 pp. | DOI | MR | Zbl
[20] Sadri V., Rahimlou Gh., Ahmadi R., Zarghami Farfar R., “Construction of $K$-g-fusion frames and their dual in Hilbert spaces”, Bull. Transilvania Un. Braşov, Series III, 13 (62):1 (2020), 17–32 | MR | Zbl
[21] Sadri V., Ahmadi R., Jafarizadeh M. A., Nami S., “Continuous $k$-fusion frames in Hilbert spaces”, Sahand Comm. Math. Anal., 17:1 (2020), 39–55 | DOI | Zbl
[22] Sun W., “G-Frames and G-Riesz bases”, J. Math. Anal. Appl., 326 (2006), 437–452 | DOI | MR
[23] Vashisht L. K., Deepshikha, “On continuous weaving frames”, Adv. Pure Appl. Math., 8:1 (2017), 15–31 | DOI | MR | Zbl
[24] Vashisht L. K., Garg S., Deepshikha, Das P. K., “On generalized weaving frames in Hilbert spaces”, Rocky Mountain J. Math., 48:2 (2018), 661–685 | DOI | MR | Zbl
[25] Xiao X., Zhu Y., Găvruţa L., “Some Properties of $K$-Frames in Hilbert Spaces”, Results. Math., 63 (2013), 1243–1255 | DOI | MR | Zbl