References
- Eldar, Y. (2014). Sampling Theory. Cambridge, UK: Cambridge University Press.
- Lloyd, S. P. (1959). A sampling theorem for stationary (wide sense) stochastic processes. Trans. Am. Math. Soc. 92(1):1–12. DOI: 10.2307/1993163.
- Yaglom, A. M. (1949). On problems about the linear interpolation of stationary random sequences and processes. Uspehi Matem. Nauk (N.S.) 4(32):173–178.
- Klotz, L. (2006). Some remarks on an interpolation problem of A.M. Yaglom. Teor. Veroyatn. Primen.
- Pourahmadi, M. (1983). A sampling theorem for multivariate stationary processes. J. Multivariate Anal. 13(1):177–186. DOI: 10.1016/0047-259X(83)90012-X.
- Salehi, H. (1969). On interpolation of q-variate stationary stochastic processes. Pac. J. Math. 28(1):183–191. DOI: 10.2140/pjm.1969.28.183.
- Zayed, A. (1994). Advances in Shannon’s Sampling Theory. Boca Raton, Florida: CRC Press.
- Fernández-Morales, H. R., Garcí A, A. G., Hernández-Medina, M. A., Muñoz Bouzo, M. J. (2013). On some sampling-related frames in U-invariant spaces. Abstr. Appl. Anal. 2013:1–14. Art. ID 761620. DOI: 10.1155/2013/761620.
- Garcia, A. G., Bouzo, M. M. (2015). Sampling-related frames in finite u-invariant subspaces. Appl. Comput. Harmon. Anal. 39(1):173–184.
- Papoulis, A. (1977). Generalized Sampling Expansion. IEEE Trans. Circuits Syst. 24(11):652–654. DOI: 10.1109/TCS.1977.1084284.
- Rozanov, Y. A. (1967). Stationary Random Processes. San Francisco: Holden-Day.
- Kluv’anek, I. (1965). Sampling theorem in abstract harmonic analysis. Nat.- Fyz. Casopis Sloven. Akad. Vied. 15:43–48.
- Faridani, A., Ritman, E.L. (2000). High-resolution computed tomography from efficient sampling. Inverse Problems 16(3):635–650. DOI: 10.1088/0266-5611/16/3/307.
- Medina, J. M., Klotz, L., Riedel, M. (2018). Density of spaces of trigonometric polynomials with frequencies from a subgroup in Lα spaces. C. R. Math. Acad. Sci. Paris. 356(6):586–593. DOI: 10.1016/j.crma.2018.04.021.
- Bownik, M. (2000). The structure of shift-invariant subspaces of L2(Rn). J. Funct. Anal. 177(2):282–309. DOI: 10.1006/jfan.2000.3635.
- Ron, A., Shen, Z. (1995). Frames and stable bases for shift-invariant subspaces of L2(Rd). J Can. J. Math. 47(5):1051–1094.
- Rudin, W. (1990). Fourier Analysis on Groups. New York: Wiley.
- Beaty, M. G., Dodson, M. M., Eveson, S. P. (2007). A converse to Kluv’anek’s theorem. J. Fourier Anal. Appl. 13(2):187–196. DOI: 10.1007/s00041-006-6025-x.
- Halmos, P. (1950). Measure Theory. Princeton, New Jersey: Van Nostrand.
- Feldman, J., Greenleaf, F. P. (1968). Existence of Borel transversals in groups. Pac. J. Math. 25(3):455–461. DOI: 10.2140/pjm.1968.25.455.
- Christensen, O. (2008). Frames and Bases. Birkhäuser: Applied and Numerical Harmonic Analysis.
- Beaty, M. G., Dodson, M. M. (2004). The Whittaker-Kotel’nikov-Shannon theorem, spectral translates and Plancherel’s formula. J. Fourier Anal. Appl. 10(2):179–199. DOI: 10.1007/s00041-004-8010-6.
- Rao, M.M. (2012). Random and Vector Measures. Series on Multivariate Analysis, Vol. 12. Singapore: World Scientific.
- Azoff, E. A. (1974). Borel measurability in linear algebra. Proc. Am. Math. Soc. 42(2):346–350. DOI: 10.1090/S0002-9939-1974-0327799-1.
- Brown, J.L. (1981). Multi-channel sampling of low pass signals. IEEE Trans. Circuits Syst. 28(2):101–106. DOI: 10.1109/TCS.1981.1084954.
- Makagon, A., Mandrekar, V. (1990). The spectral representation of stable processes: Harmonizability and regularity. Probab. Th. Rel. Fields 85(1):1–11. DOI: 10.1007/BF01377623.
- Rozanov, Y. A. (1960). On stationary sequences forming a basis. Sov. Math. Doklad. 1:91–93.
- Pohl, V., Boche, H. (2012). U-invariant sampling and reconstruction in atomic spaces with multiple generators. IEEE Trans. Signal Proc. 60(7):3505–3519.