 | M. S. Brodskii - 1974 - 210 pàgines
...For the function Fi2) to be represen table in the form Fi:) = r/i22), where fi2) is an S. function, it is necessary and sufficient that the following conditions be satisfied: a) Fi2) € iR), b) /ri- 2")= - Fi2). 1n conclusion we note that the classes iS) and iS l) were introduced... | |
 | V.V. Buldygin, Serguei Solntsev - 1997 - 524 pàgines
...and that almost surely. Corollary 3.5.1 In order for the inclusion (AnSn, n> l)€c(Rd) as, to hold it is necessary and sufficient that the following conditions be satisfied: (a) the sequence (AnSn, n> 1) converges in probability in Rd; (b) one has for all the sequences (nj, j... | |
 | Feliks Ruvimovich Gantmakher, Mark Grigorʹevich Kreĭn - 1961 - 326 pàgines
...multiplicity k, then it is a root of the polynomial A(A) of multiplicity k. where k > k — 1. For k > k, it is necessary and sufficient that the following conditions be satisfied: a, = 0 for A, = AQ. We denote by d(X) the greatest common divisor of the polynomials A(A) and A(A). and... | |
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S. function, it is necessary and sufficient that the following conditions be satisfied: a) Fi2) € iR), b) /ri- 2")= - Fi2). 