Chattopadhyay, Arup; Jana, Supratim Kernels of perturbed Hankel operators. (English) Zbl 07968310 J. Math. Anal. Appl. 544, No. 1, Article ID 129080, 15 p. (2025). MSC: 47-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Yimeng; Zeng, Xiaochen Robustness of average sampling and reconstruction of shift-invariant signals in mixed Lebesgue spaces. (English) Zbl 07978010 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 6, Article ID 2450029, 22 p. (2024). MSC: 94A20 94A12 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ramakrishnan, Radha; Velsamy, Rabeetha Data approximation in twisted shift-invariant spaces. (English) Zbl 07952225 Adv. Oper. Theory 9, No. 2, Paper No. 37, 12 p. (2024). MSC: 42A85 42C15 41A30 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Baranov, Anton; Belov, Yurii Irregular sampling for hyperbolic secant type functions. (English) Zbl 07945721 Adv. Math. 458, Part B, Article ID 109981, 16 p. (2024). MSC: 42C15 30D10 30H20 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romero, José Luis; Ulanovskii, Alexander; Zlotnikov, Ilya Sampling in the shift-invariant space generated by the bivariate Gaussian function. (English) Zbl 07900809 J. Funct. Anal. 287, No. 9, Article ID 110600, 29 p. (2024). MSC: 62D05 42C15 42C40 42C30 94A20 32A10 30H05 30B60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Câmara, M. Cristina; Kliś-Garlicka, Kamila; Ptak, Marek General Toeplitz kernels and \((X,Y)\)-invariance. (English) Zbl 07845247 Can. J. Math. 76, No. 2, 680-706 (2024). MSC: 47B35 47A15 47B32 30H10 × Cite Format Result Cite Review PDF Full Text: DOI
Câmara, M. Cristina; Kliś-Garlicka, Kamila; Ptak, Marek Shifted model spaces and their orthogonal decompositions. (English) Zbl 1539.47043 Opusc. Math. 44, No. 3, 341-357 (2024). MSC: 47B32 47B35 47A15 30H10 × Cite Format Result Cite Review PDF Full Text: DOI
Aksentijević, A.; Aleksić, S.; Pilipović, S. The structure of shift-invariant subspaces of Sobolev spaces. (English. Russian original) Zbl 1547.46033 Theor. Math. Phys. 218, No. 2, 177-191 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 207-222 (2024). MSC: 46E35 46E36 42C15 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Verma, Ruchika; Teena, Kumari Some properties of range operators on LCA groups. (English) Zbl 07957558 Kragujevac J. Math. 47, No. 7, 995-1010 (2023). MSC: 47A15 22B99 42C15 43A25 × Cite Format Result Cite Review PDF Full Text: DOI
Gröchenig, Karlheinz Schoenberg’s theory of totally positive functions and the Riemann zeta function. (English) Zbl 1547.42014 Casey, Stephen D. (ed.) et al., Sampling, approximation, and signal analysis. Harmonic analysis in the spirit of J. Rowland Higgins. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 193-210 (2023). MSC: 42A82 11M06 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guiver, Chris; Opmeer, Mark R. Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces. (English) Zbl 1546.47055 Integral Equations Oper. Theory 95, No. 3, Paper No. 19, 34 p. (2023). MSC: 47B92 46E40 47N70 44A10 93B28 93C05 93C20 93D05 93D25 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Caixing; Luo, Shuaibing Higher order isometric shift operator on the de Branges-Rovnyak space. (English) Zbl 07734195 J. Oper. Theory 89, No. 1, 105-123 (2023). MSC: 46E22 47A15 47A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cerejeiras, Paula; Fink, Thomas; Forster, Brigitte; Kähler, Uwe Shift-invariant spline subspaces of Sobolev spaces and their order of approximation. (English) Zbl 1521.41004 J. Math. Anal. Appl. 528, No. 1, Article ID 127444, 19 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Athira, N.; Lineesh, M. C. Approximation properties of wavelets on \(p\)-adic fields. (English) Zbl 1518.42048 Int. J. Wavelets Multiresolut. Inf. Process. 21, No. 3, Article ID 2250057, 14 p. (2023). MSC: 42C40 41A10 41A65 43A70 × Cite Format Result Cite Review PDF Full Text: DOI
Behera, Biswaranjan Dilates of shift-invariant spaces on local fields. (English) Zbl 1538.43005 Publ. Math. Debr. 102, No. 3-4, 261-284 (2023). Reviewer: Michael J. Puls (New York) MSC: 43A70 43A50 43A25 × Cite Format Result Cite Review PDF Full Text: DOI
Bergqvist, Linus Alternative proofs of Mandrekar’s theorem. (English) Zbl 1510.32006 Proc. Am. Math. Soc., Ser. B 10, 46-55 (2023). MSC: 32A35 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behera, Biswaranjan Frame wavelets of local fields with no dual wavelet frames. (English) Zbl 1510.43005 Complex Anal. Oper. Theory 17, No. 2, Paper No. 29, 11 p. (2023). Reviewer: Keith Taylor (Halifax) MSC: 43A70 43A50 43A25 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Devaraj, P.; Garg, Ankush Kumar Average sampling expansions from regular and irregular samples over shift-invariant subspaces on LCA groups. (English) Zbl 1508.94051 Banach J. Math. Anal. 17, No. 1, Paper No. 15, 25 p. (2023). Reviewer: Joseph Lakey (Las Cruces) MSC: 94A20 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Gröchenig, Karlheinz Totally positive functions in sampling theory and time-frequency analysis. (English) Zbl 1504.42020 Cerejeiras, Paula (ed.) et al., Mathematical analysis, its applications and computation. ISAAC 2019. Selected papers based on the presentations at the 12th international congress, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 385, 51-73 (2022). MSC: 42A82 42C15 62D05 46B15 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Luthy, Peter M.; Šikić, Hrvoje; Soria, Fernando; Weiss, Guido L.; Wilson, Edward N. One-dimensional dyadic wavelets. (English) Zbl 1504.42001 Memoirs of the American Mathematical Society 1378. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5374-9/pbk; 978-1-4704-7278-8/ebook). ix, 152 p. (2022). Reviewer: Bin Han (Edmonton) MSC: 42-02 42C40 42C15 47B38 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Suping Average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue space \(L^{p,q}(\mathbb{R}^{d+1})\). (English) Zbl 1494.94029 Math. Inequal. Appl. 25, No. 3, 809-826 (2022). MSC: 94A20 94A12 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Câmara, M. Cristina; Kliś-Garlicka, Kamila; Łanucha, Bartosz; Ptak, Marek Shift invariance and reflexivity of compressions of multiplication operators. (English) Zbl 07557603 Forum Math. 34, No. 4, 893-905 (2022). MSC: 47B32 47B35 30H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romero, José Luis; van Velthoven, Jordy Timo; Voigtlaender, Felix Invertibility of frame operators on Besov-type decomposition spaces. (English) Zbl 1485.42043 J. Geom. Anal. 32, No. 5, Paper No. 149, 72 p. (2022). MSC: 42B35 42C15 42C40 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ponnaian, Devaraj; Garg, Ankush Kumar; Shanmugam, Yugesh Average and convolution sampling over shift-invariant spaces. (English) Zbl 1482.94035 Complex Anal. Oper. Theory 16, No. 2, Paper No. 20, 16 p. (2022). MSC: 94A20 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmad, Owais; Ahmad, Mobin; Ahmad, Neyaz Frames associated with shift invariant spaces on positive half line. (English) Zbl 1483.42017 Acta Univ. Sapientiae, Math. 13, No. 1, 23-44 (2021). Reviewer: Paşc Găvruţă (Timişoara) MSC: 42C15 42C40 43A70 42A38 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Suping; Zhang, Jiaxing Average sampling and reconstruction for signals in shift-invariant subspaces of weighted mixed Lebesgue spaces. (English) Zbl 1469.94075 Math. Methods Appl. Sci. 44, No. 11, 9507-9523 (2021). MSC: 94A20 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Romero, José Luis Sign retrieval in shift-invariant spaces with totally positive generator. (English) Zbl 1465.42038 J. Fourier Anal. Appl. 27, No. 2, Paper No. 27, 8 p. (2021). MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Youfa; Huang, Yanfen; Zhou, Chunxu Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples. (English) Zbl 1457.42054 Banach J. Math. Anal. 15, No. 2, Paper No. 33, 22 p. (2021). MSC: 42C40 41A30 42A16 94A12 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Yingchun; Li, Wan Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces \(L^{p,q}(\mathbb{R}\times\mathbb{R}^d)\). (English) Zbl 1458.94185 J. Comput. Appl. Math. 386, Article ID 113237, 16 p. (2021). MSC: 94A20 46E22 62D05 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Yingchun; Li, Wan Convolution random sampling in multiply generated shift-invariant spaces of \(L^p(\mathbb{R}^d)\). (English) Zbl 1467.46029 Ann. Funct. Anal. 12, No. 1, Paper No. 10, 22 p. (2021). Reviewer: Joseph Lakey (Las Cruces) MSC: 46E30 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Das, S. R.; Radha, R. Shift-invariant system on the Heisenberg group. (English) Zbl 1457.42043 Adv. Oper. Theory 6, No. 1, Paper No. 21, 27 p. (2021). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 43A30 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Bownik, Marcin; Iverson, Joseph W. Multiplication-invariant operators and the classification of LCA group frames. (English) Zbl 1462.42049 J. Funct. Anal. 280, No. 2, Article ID 108780, 59 p. (2021). Reviewer: Anirudha Poria (Bengaluru) MSC: 42C15 43A32 47A15 43A65 46C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Busovikov, V. M.; Sakbaev, V. Zh. Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space. (English) Zbl 1524.35492 Appl. Math. Nonlinear Sci. 5, No. 2, 329-344 (2020). MSC: 35Q40 47N50 47F05 × Cite Format Result Cite Review PDF Full Text: DOI
Radha, R.; Sarvesh, K.; Sivananthan, S. Invertibility of Laurent operators and shift invariant spaces with finitely many generators. (English) Zbl 1456.42044 Appl. Anal. 99, No. 16, 2854-2876 (2020). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 42C40 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Yingchun; Kou, Junke Semi-average sampling for shift-invariant signals in a mixed Lebesgue space. (English) Zbl 1458.94184 Numer. Funct. Anal. Optim. 41, No. 9, 1045-1064 (2020). MSC: 94A20 94A12 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Gröchenig, Karlheinz Phase-retrieval in shift-invariant spaces with Gaussian generator. (English) Zbl 1439.94010 J. Fourier Anal. Appl. 26, No. 3, Paper No. 52, 15 p. (2020). MSC: 94A12 42C15 49N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perez-Villalon, Gerardo Discrete convolution operators and Riesz systems generated by actions of abelian groups. (English) Zbl 1501.47117 Ann. Funct. Anal. 11, No. 2, 285-297 (2020). Reviewer: Tianxuan Miao (Thunder Bay) MSC: 47L25 43A15 44A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koo, Yoo Young; Lim, Jae Kun Sum of disjoint frame sequences. (English) Zbl 1433.42035 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 321-331 (2020). MSC: 42C15 46C99 46B15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qingyue Multivariate vector sampling expansion in shift-invariant subspaces. (English) Zbl 1441.42003 Int. J. Dyn. Syst. Differ. Equ. 10, No. 1, 19-33 (2020). MSC: 42C40 62D05 62H99 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gröchenig, Karlheinz; Romero, José Luis; Stöckler, Joachim Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames. (English) Zbl 1430.42034 Constr. Approx. 51, No. 1, 1-25 (2020). MSC: 42C15 42C40 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Maria; Sołtysiak, Andrzej Toeplitz operators on backward shift invariant subspaces of \(H^p\). (English) Zbl 1543.47073 J. Math. Anal. Appl. 481, No. 1, Article ID 123461, 10 p. (2020). MSC: 47B35 47A15 30H10 46E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Youfa; Yuan, Qianyun Phaseless inverse discrete Hilbert transform and determination of signals in shift-invariant space. (English) Zbl 1423.94041 Math. Methods Appl. Sci. 42, No. 11, 4031-4041 (2019). MSC: 94A20 42C40 65T60 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Kovač, Vjekoslav; Šikić, Hrvoje Characterizations of democratic systems of translates on locally compact abelian groups. (English) Zbl 1418.43004 Monatsh. Math. 189, No. 3, 459-485 (2019). Reviewer: Yuri A. Farkov (Moscow) MSC: 43A70 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arati, Shashi; Radha, Ram Frames, biorthogonal dual and other properties associated with wavelet system on \(\mathbb{R}\). (English) Zbl 1435.42025 Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 3, Article ID 1950008, 22 p. (2019). Reviewer: Mehdi Rashidi-Kouchi (Kerman) MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Radha, R.; Sarvesh, K.; Sivananthan, S. Sampling and reconstruction in a shift invariant space with multiple generators. (English) Zbl 1422.42046 Numer. Funct. Anal. Optim. 40, No. 4, 365-385 (2019). Reviewer: Ashok Kumar Sah (Delhi) MSC: 42C15 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yang; Cheng, Cheng; Sun, Qiyu A phaseless reconstruction algorithm for real-valued signals in a shift-invariant space. (Chinese. English summary) Zbl 1499.94019 Sci. Sin., Math. 48, No. 10, 1237-1252 (2018). MSC: 94A12 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Firdous A.; Ahmad, Owais; Rahimi, Asghar Frames associated with shift-invariant spaces on local fields. (English) Zbl 1499.42145 Filomat 32, No. 9, 3097-3110 (2018). MSC: 42C15 42C40 43A70 11S85 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko Ranks of cross-commutators and unitary module maps. (English) Zbl 06946882 Comput. Methods Funct. Theory 18, No. 3, 545-566 (2018). MSC: 47A15 32A35 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Yongxia; Li, Chongjun; Wang, Renhong Sparse approximate solution of fitting surface to scattered points by MLASSO model. (English) Zbl 1415.65041 Sci. China, Math. 61, No. 7, 1319-1336 (2018). MSC: 65D17 65D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mittal, Shiva; Shukla, Niraj K. Generalized nonuniform multiresolution analyses. (English) Zbl 1398.42025 Colloq. Math. 153, No. 1, 121-147 (2018). Reviewer: Gustaf Gripenberg (Helsingfors) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Hamm, Keaton; Ledford, Jeff On the structure and interpolation properties of quasi shift-invariant spaces. (English) Zbl 1391.46036 J. Funct. Anal. 274, No. 7, 1959-1992 (2018). Reviewer: Joseph Lakey (Las Cruces) MSC: 46E20 41A05 41A30 42B35 41A63 42C15 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Radha, Ramakrishnan; Adhikari, Saswata A sampling theorem for the twisted shift-invariant space. (English) Zbl 1418.94022 Adv. Pure Appl. Math. 8, No. 4, 293-305 (2017). MSC: 94A20 42C15 42B99 × Cite Format Result Cite Review PDF Full Text: DOI
Pietsch, Albrecht Traces on operator ideals and related linear forms on sequence ideals. IV. (English) Zbl 1472.47016 Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 259, 593-619 (2017). Reviewer: Oscar Blasco (València) MSC: 47B10 35S05 46B45 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko Adjoint of the Toeplitz operator with the singular inner function. (English) Zbl 1439.47026 J. Math. Anal. Appl. 452, No. 2, 906-911 (2017). MSC: 47B35 47A15 30J05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qingyue; Li, Rui; Liu, Bei Periodic nonuniform dynamical sampling in \(\ell^2(\mathbb{Z})\) and shift-invariant spaces. (English) Zbl 1412.94142 Numer. Funct. Anal. Optim. 38, No. 3, 395-407 (2017). MSC: 94A20 94A12 42C15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Selvan, A. Antony; Radha, R. Invertibility of a tridiagonal operator with an application to a non-uniform sampling problem. (English) Zbl 06707951 Linear Multilinear Algebra 65, No. 5, 973-990 (2017). MSC: 47B37 15A60 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko Rank of finite Rudin type backward shift invariant subspaces over the bidisk. (English) Zbl 1422.47015 Complex Anal. Oper. Theory 11, No. 3, 675-705 (2017). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47A15 32A35 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yong; Izuchi, Kei Ji; Lee, Young Joo Kernels of Toeplitz operators on the Hardy space over the bidisk. (English) Zbl 1545.47067 J. Funct. Anal. 272, No. 9, 3869-3903 (2017). MSC: 47B35 32A35 47A15 × Cite Format Result Cite Review PDF Full Text: DOI
Hogan, Jeffrey A.; Lakey, Joseph D. Frame expansions of bandlimited signals using prolate spheroidal wave functions. (English) Zbl 1384.94013 Sampl. Theory Signal Image Process. 15, 139-153 (2016). MSC: 94A12 94A20 42C10 94A11 × Cite Format Result Cite Review PDF Full Text: Link
Huang, Yongdong Structure of the set of Parseval frame wavelets with special dilation matrices. (Chinese. English summary) Zbl 1363.42056 Acta Math. Sin., Chin. Ser. 59, No. 2, 163-186 (2016). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Kang, Sinuk On uniform sampling in shift-invariant spaces associated with the fractional Fourier transform domain. (English) Zbl 1409.94842 Honam Math. J. 38, No. 3, 613-623 (2016). MSC: 94A20 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Ki-reem; Kwon, Kil Hyun; Lee, Dae Gwan; Lee, Jaekyu Consistent sampling for multi frame generators with distinct sampling rates. (English) Zbl 1346.94077 Sampl. Theory Signal Image Process. 14, No. 2, 101-115 (2015). MSC: 94A20 42C15 × Cite Format Result Cite Review PDF Full Text: Link
Selvan, A. Antony; Radha, R. Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\). (English) Zbl 1368.42036 Ann. Mat. Pura Appl. (4) 194, No. 6, 1683-1706 (2015). MSC: 42C15 42B99 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Luthy, Peter M.; Weiss, Guido L.; Wilson, Edward N. Projections and dyadic Parseval frame MRA wavelets. (English) Zbl 1330.42023 Appl. Comput. Harmon. Anal. 39, No. 3, 511-533 (2015). Reviewer: Richard A. Zalik (Auburn) MSC: 42C40 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koo, Yoo Young; Lim, Jae Kun Extension of Bessel sequences to oblique dual frame sequences and the minimal projection. (English) Zbl 1327.42034 Electron. J. Linear Algebra 30, 51-65 (2015). Reviewer: Antonio Galbis (Valencia) MSC: 42C15 46C99 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Xin-Rong; Sun, Qiyu The \(abc\)-problem for Gabor systems and uniform sampling in shift-invariant spaces. (English) Zbl 1362.42062 Balan, Radu (ed.) et al., Excursions in harmonic analysis, Volume 3. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002–2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-13229-7/hbk; 978-3-319-13230-3/ebook). Applied and Numerical Harmonic Analysis, 177-194 (2015). Reviewer: Ilya Krishtal (DeKalb) MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hogan, Jeffrey A.; Lakey, Joseph D. Frame properties of shifts of prolate spheroidal wave functions. (English) Zbl 1318.42037 Appl. Comput. Harmon. Anal. 39, No. 1, 21-32 (2015). Reviewer: Demetrio Labate (Houston) MSC: 42C15 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Paternostro, Victoria Linear combinations of generators in multiplicatively invariant spaces. (English) Zbl 1331.42034 Stud. Math. 226, No. 1, 1-16 (2015). Reviewer: Wenchang Sun (Tianjin) MSC: 42C15 42C40 43A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klotz, Lutz; Wang, Dong Metric properties of convergence in measure with respect to a matrix-valued measure. (English) Zbl 1324.28002 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 30, 67-78 (2014). MSC: 28A20 46E30 46A16 42A10 47A15 × Cite Format Result Cite Review PDF Full Text: EMIS
Rashidi-Kouchi, Mehdi; Nazari, Akbar Extension of shift-invariant frames for locally compact abelian groups. (English) Zbl 1312.42035 J. Math. Ext. 8, No. 3, 41-48 (2014). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF
Cabrelli, C.; Mosquera, C. A.; Paternostro, V. Linear combinations of frame generators in systems of translates. (English) Zbl 1310.42020 J. Math. Anal. Appl. 413, No. 2, 776-788 (2014). MSC: 42C15 46B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Qiyu Localized nonlinear functional equations and two sampling problems in signal processing. (English) Zbl 1476.94018 Adv. Comput. Math. 40, No. 2, 415-458 (2014). MSC: 94A12 94A20 39B42 42C15 46T20 47H07 65J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peters, Jörg Refinability of splines derived from regular tessellations. (English) Zbl 1293.65020 Comput. Aided Geom. Des. 31, No. 3-4, 141-147 (2014). MSC: 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashrafi, Ashkan Frequency domain Walsh functions and sequences: an introduction. (English) Zbl 1354.94010 Appl. Comput. Harmon. Anal. 36, No. 2, 348-353 (2014). MSC: 94A12 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Bergmann, Ronny The fast Fourier transform and fast wavelet transform for patterns on the torus. (English) Zbl 1432.65205 Appl. Comput. Harmon. Anal. 35, No. 1, 39-51 (2013). MSC: 65T50 42C40 65T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pilipović, Stevan; Simić, Suzana Construction of frames for shift-invariant spaces. (English) Zbl 1278.46010 J. Funct. Spaces Appl. 2013, Article ID 163814, 7 p. (2013). MSC: 46B15 42C15 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izuchi, Kou Hei; Izuchi, Kei Ji Mixed invariant subspaces over the bidisk. II. (English) Zbl 1275.47016 Acta Math. Vietnam. 38, No. 2, 213-239 (2013). Reviewer: Janko Bračič (Ljubljana) MSC: 47A15 32A35 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko Ranks of backward shift invariant subspaces of the Hardy space over the bidisk. (English) Zbl 1281.47004 Math. Z. 274, No. 3-4, 885-903 (2013). Reviewer: Trieu Le (Toledo) MSC: 47A15 32A35 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qingyue; Sun, Wenchang The structure of finitely generated shift-invariant subspaces in super Hilbert spaces. (English) Zbl 1263.42015 Numer. Funct. Anal. Optim. 34, No. 3, 349-364 (2013). Reviewer: Peter Massopust (München) MSC: 42C15 41A58 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Pietsch, Albrecht Shift-invariant functionals on Banach sequence spaces. (English) Zbl 1280.46012 Stud. Math. 214, No. 1, 37-66 (2013). Reviewer: Olav Nygaard (Kristiansand) MSC: 46B45 47B10 47B37 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Sinuk; Kwon, Kil Hyun; Lee, Dae Gwan Recovery of missing samples from multi-channel oversampling in shift-invariant spaces. (English) Zbl 1346.94079 Sampl. Theory Signal Image Process. 11, No. 1, 95-112 (2012). MSC: 94A20 42C15 × Cite Format Result Cite Review PDF Full Text: Link
Daws, Matthew; Haydon, Richard; Schlumprecht, Thomas; White, Stuart Shift invariant preduals of \(\ell_1(\mathbb Z)\). (English) Zbl 1269.46008 Isr. J. Math. 192, Part B, 541-585 (2012). Reviewer: Daniel Li (Lens) MSC: 46B10 43A60 46B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Pilipović, Stevan; Simić, Suzana Frames for weighted shift-invariant spaces. (English) Zbl 1253.42032 Mediterr. J. Math. 9, No. 4, 897-912 (2012); erratum ibid. 10, No. 1, 609-610 (2013). MSC: 42C15 42C40 42C99 46B15 46E35 46B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izuchi, Kei Ji; Izuchi, Kou Hei Commutativity in two-variable Jordan blocks on the Hardy space. (English) Zbl 1275.47015 Acta Sci. Math. 78, No. 1-2, 129-136 (2012). Reviewer: Michal Zajac (Bratislava) MSC: 47A15 32A35 × Cite Format Result Cite Review PDF
Ahmadi, Ahmad; Askari-Hemmat, Ataollah Shift generated dual frames for locally compact abelian groups. (English) Zbl 1243.42040 J. Korean Math. Soc. 49, No. 3, 571-583 (2012). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 42C15 42C40 11S85 × Cite Format Result Cite Review PDF Full Text: DOI
Xian, Jun Local sampling set conditions in weighted shift-invariant signal spaces. (English) Zbl 1259.94038 Appl. Anal. 91, No. 3, 447-457 (2012). MSC: 94A20 42C15 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchi, Kei Ji; Izuchi, Kou Hei Cross commutators on backward shift invariant subspaces over the bidisk. II. (English) Zbl 1233.47005 J. Korean Math. Soc. 49, No. 1, 139-151 (2012). MSC: 47A15 32A35 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Anastasio, Magalí; Cabrelli, Carlos; Paternostro, Victoria Invariance of a shift-invariant space in several variables. (English) Zbl 1281.46027 Complex Anal. Oper. Theory 5, No. 4, 1031-1050 (2011). MSC: 46E30 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Izuchi, Kei Ji; Izuchi, Kou Hei; Naito, Masatoshi Mixed invariant subspaces over the bidisk. (English) Zbl 1275.32007 Complex Anal. Oper. Theory 5, No. 4, 1003-1030 (2011). MSC: 32A35 47A15 × Cite Format Result Cite Review PDF Full Text: DOI
Raisi Tousi, R.; Kamyabi Gol, R. A. Shift invariant spaces and shift preserving operators on locally compact Abelian groups. (English) Zbl 1275.47018 Iran. J. Math. Sci. Inform. 6, No. 2, 21-32 (2011). Reviewer: Tianxuan Miao (Thunder Bay) MSC: 47A15 42B99 22B99 × Cite Format Result Cite Review PDF
Dai, XinRong; Song, JunQuan Summation and intersection of refinable shift invariant spaces. (English) Zbl 1247.42038 Sci. China, Math. 54, No. 10, 2087-2097 (2011). Reviewer: Gerlind Plonka-Hoch (Göttingen) MSC: 42C40 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dengfeng; Wu, Guochang; Yang, Xiaohui Unified conditions for wavelet frames. (English) Zbl 1230.42040 Georgian Math. J. 18, No. 4, 761-776 (2011). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Gol, R. A. Kamyabi; Tousi, R. Raisi Shift preserving operators on locally compact abelian groups. (English) Zbl 1245.43002 Taiwanese J. Math. 15, No. 5, 1939-1955 (2011). Reviewer: Lai Chunhui (Zhangzhou) MSC: 43A15 43A25 × Cite Format Result Cite Review PDF Full Text: DOI
Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko Blaschke products and the rank of backward shift invariant subspaces over the bidisk. (English) Zbl 1228.32006 J. Funct. Anal. 261, No. 6, 1457-1468 (2011). Reviewer: Janko Bračič (Ljubljana) MSC: 32A35 47A15 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmadi, A.; Hemmat, A. Askari; Tousi, R. Raisi Shift invariant spaces for local fields. (English) Zbl 1218.42016 Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 3, 417-426 (2011). Reviewer: Arash Ghaani Farashahi (Wien) MSC: 42C40 11S85 × Cite Format Result Cite Review PDF Full Text: DOI
Šikić, Hrvoje; Wilson, Edward N. Lattice invariant subspaces and sampling. (English) Zbl 1219.43005 Appl. Comput. Harmon. Anal. 31, No. 1, 26-43 (2011). Reviewer: Richard A. Zalik (Auburn University) MSC: 43A75 42C15 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Sin Uk; Kwon, K. H. Generalized average sampling in shift invariant spaces. (English) Zbl 1218.94031 J. Math. Anal. Appl. 377, No. 1, 70-78 (2011). Reviewer: Wenchang Sun (Tianjin) MSC: 94A20 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Ericsson, Stefan; Grip, Niklas Using a natural deconvolution for analysis of perturbed integer sampling in shift-invariant spaces. (English) Zbl 1198.94067 J. Math. Anal. Appl. 373, No. 1, 271-286 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 94A20 42C40 65T60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Astashkin, S. V.; Tikhomirov, K. E. On stably \(K\)-monotone Banach couples. (English. Russian original) Zbl 1271.46024 Funct. Anal. Appl. 44, No. 3, 212-215 (2010); translation from Funkts. Anal. Prilozh. 44, No. 3, 65-69 (2010). MSC: 46B70 × Cite Format Result Cite Review PDF Full Text: DOI
Ehler, M. The multiresolution structure of pairs of dual wavelet frames for a pair of Sobolev spaces. (English) Zbl 1221.42061 Jaen J. Approx. 2, No. 2, 193-214 (2010). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 42C40 42C15 42B35 × Cite Format Result Cite Review PDF