{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:01:58Z","timestamp":1761487318802},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1993,6,1]],"date-time":"1993-06-01T00:00:00Z","timestamp":738892800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Control Signal Systems"],"published-print":{"date-parts":[[1993,6]]},"DOI":"10.1007\/bf01211746","type":"journal-article","created":{"date-parts":[[2005,2,25]],"date-time":"2005-02-25T08:09:13Z","timestamp":1109318953000},"page":"166-179","source":"Crossref","is-referenced-by-count":9,"title":["Approximating signals by fast impulse sampling"],"prefix":"10.1007","volume":"6","author":[{"given":"Yakar","family":"Kannai","sequence":"first","affiliation":[]},{"given":"George","family":"Weiss","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"L. Bezuglaya and V. Katsnelson, The sampling theorem for functions with limited multi-band spectrum, I, submitted."},{"key":"CR2","volume-title":"Fourier Transforms","author":"S. Bochner","year":"1949","unstructured":"S. Bochner and K. Chandrasekharan,Fourier Transforms, Princeton University Press, Princeton, NJ, 1949."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1070\/SM1971v015n02ABEH001541","volume":"15","author":"L. S. Frank","year":"1971","unstructured":"L. S. Frank, Spaces of network functions,Math. USSR-Sb.,15 (1971), 183?226.","journal-title":"Math. USSR-Sb."},{"key":"CR4","volume-title":"Signal Theory","author":"L. Franks","year":"1969","unstructured":"L. Franks,Signal Theory, Prentice-Hall, Englewood Cliffs, NJ, 1969."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1090\/S0273-0979-1985-15293-0","volume":"12","author":"J. R. Higgins","year":"1985","unstructured":"J. R. Higgins, Five short stories about the cardinal series,Bull. Amer. Math. Soc.,12 (1985), 45?89.","journal-title":"Bull. Amer. Math. Soc."},{"key":"CR6","doi-asserted-by":"crossref","first-page":"1565","DOI":"10.1109\/PROC.1977.10771","volume":"11","author":"A. J. Jerri","year":"1977","unstructured":"A. J. Jerri, The Shannon sampling theorem?its various extensions and applications: A tutorial review,Proc. IEEE,11 (1977), 1565?1596.","journal-title":"Proc. IEEE"},{"key":"CR7","unstructured":"Y. Kannai, M. Kelemen, and I. Horowitz, Spatial discretization and approximation of distributed feedback loops and inputs,Internat. J. Control, to appear."},{"key":"CR8","volume-title":"Analysis and Synthesis of Sampled-Data Control Systems","author":"B. C. Kuo","year":"1965","unstructured":"B. C. Kuo,Analysis and Synthesis of Sampled-Data Control Systems, Prentice-Hall, Englewood Cliffs, NJ, 1965."},{"key":"CR9","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/BF02570568","volume":"4","author":"M. Z. Nashed","year":"1991","unstructured":"M. Z. Nashed and G. G. Walter, General sampling theorems for functions in reproducing kernel Hubert spaces,Math. Control Signals Systems,4 (1991), 363?390.","journal-title":"Math. Control Signals Systems"},{"key":"CR10","volume-title":"Functional Analysis","author":"W. Rudin","year":"1973","unstructured":"W. Rudin,Functional Analysis, McGraw-Hill, New York, 1973."},{"key":"CR11","volume-title":"Communication Theory: Transmission of Waveforms and Digital Information","author":"D. J. Sakrison","year":"1968","unstructured":"D. J. Sakrison,Communication Theory: Transmission of Waveforms and Digital Information, Wiley, New York, 1968."},{"key":"CR12","volume-title":"Information Transmission, Modulation, and Noise","author":"M. Schwartz","year":"1980","unstructured":"M. Schwartz,Information Transmission, Modulation, and Noise, McGraw-Hill, New York, 1980."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/978-1-4684-6393-4_16","volume-title":"Signal Processing, Part I: Signal Processing Theory","author":"G. G. Walter","year":"1990","unstructured":"G. G. Walter, Recent extensions of the sampling theorem, in:Signal Processing, Part I: Signal Processing Theory (L. Auslander, T. Kailath, and S. Mitter, eds.), pp. 229?238, Springer-Verlag, New York, 1990."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF02551266","volume":"4","author":"G. Weiss","year":"1991","unstructured":"G. Weiss, Representation of shift invariant operators onL 2 byH ? transfer functions: An elementary proof, a generalization toL p and a counterexample forL ?, Math. Control Signals Systems,4 (1991), 193?203.","journal-title":"Math. Control Signals Systems"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211746.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01211746\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01211746","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T05:45:11Z","timestamp":1556775911000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01211746"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,6]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1993,6]]}},"alternative-id":["BF01211746"],"URL":"https:\/\/doi.org\/10.1007\/bf01211746","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,6]]}}}