JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 73-80.doi: 10.6040/j.issn.1671-9352.0.2022.468
ZHANG Wei
CLC Number:
[1] DUFFIN R J, SCHAEFFER A C. A class of nonharmonic Fourier series[J]. Transactions of the American Mathematical Society, 1952, 72(2):341-366. [2] DAUBECHIES I, GROSSMANN A, MEYER Y. Painless nonorthogonal expansions[J]. Journal of Mathematical Physics, 1986, 27(5):1271-1283. [3] CHRISTENSEN O. An introduction to frames and Riesz bases[M]. Boston: Birkhäuser, 2016. [4] CHRISTENSEN O, HASANNASAB M. Frame properties of systems arising via iterated actions of operators[J]. Applied and Computational Harmonic Analysis, 2019, 46(3):664-673. [5] ABDOLLAHPOUR M R, KHEDMATI Y. On some properties of continuous g-frames and Riesz-type continuous g-frames[J]. Indian Journal of Pure and Applied Mathematics, 2017, 48(1):59-74. [6] 肖祥春,曾晓明. 连续g-框架的刻画[J]. 数学学报, 2012, 55(6):1131-1144. XIAO Xiangchun, ZENG Xiaoming. Characterizations of continuous g-frames[J]. Acta Mathematica Sinica, 2012, 55(6):1131-1144. [7] ALI S T. Continuous frames in Hilbert space[J]. Annals of Physics, 1993, 222(1):1-37. [8] SUN W C. G-frames and g-riesz bases[J]. Journal of Mathematical Analysis and Applications, 2006, 322(1):437-452. [9] ABDOLLAHPOUR M R, FAROUGHI M H. Continuous G-frames in Hilbert spaces[J]. Southeast Asian Bull Math, 2008, 32(1):1-19. [10] CHRISTENSEN O, HASANNASAB M. Approximate frame representations via iterated operator systems[J]. Studia Mathematica, 2022, 263(1):1-18. [11] CHRISTENSEN O, HASANNASAB M, STEIDL G. On approximate operator representations of sequences in Banach spaces[J]. Complex Analysis and Operator Theory, 2021, 15(3):1-22. [12] XIAO X C, ZENG X M. Some equalities and inequalities of g-continuous frames[J]. Science China Mathematics, 2010, 53(10):2621-2632. |
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