On the existence of certain matrices
Smith, John M. (1971)
Portugaliae mathematica
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Smith, John M. (1971)
Portugaliae mathematica
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Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Mauro Meschiari (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Shen-Chi Tang (1965)
Collectanea Mathematica
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Joachim Hilgert (1989)
Annales de l'institut Fourier
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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.
Tsai, Chester E. (1967)
Portugaliae mathematica
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J.-H. Evertse, R. Tijdeman (1996)
Compositio Mathematica
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Kolev, Emil (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...