منابع مشابه
Remarks on a Theorem Of
In a recent paper E. J. McShane [3]2 has given a theorem which is the common core of a variety of results about Baire sets, Baire functions, and convex sets in topological spaces including groups and linear spaces. In general terms his theorem states that if J is a family of open maps defined in one topological space Xi into another, X2, the total image JiS) of a second category Baire set S in ...
متن کاملRemarks on Pickands theorem
In this article we present Pickands theorem and his double sum method. We follow Piterbarg’s proof of this theorem. Since his proof relies on general lemmas we present a complete proof of Pickands theorem using Borell inequality and Slepian lemma. The original Pickands proof is rather complicated and is mixed with upcrossing probabilities for stationary Gaussian processes. We give a lower bound...
متن کاملRemarks on a Theorem of Zygmund
A well-known theorem of Zygmund (6) states that if n 1 < n 2 <. .. is a sequence of integers satisfying a (1) n~ +i/n~ > l+c (c > 0), k=1 converges for at least one x ; in fact the set of x for which (2) converges is of power c in any interval. Paley and Mary Weiss (5) extended this theorem for power series, i .e. (3) Y a i.znk k=1 converges for at least one z with I z I = 1 ; in fact the set o...
متن کاملTwo Remarks on Blackwell’s Theorem
In a decision problem with uncertainty a decision maker receives partial information about the actual state via an information structure. After receiving a signal he is allowed to withdraw and get 0. We say that one structure is better than another when a withdrawal option exists, if it may never happen that the latter guarantees a positive profit while the former guarantees only 0. We characte...
متن کاملSome Remarks on the Hasse-Arf Theorem
We give a very simple proof of Hasse-Arf theorem in the particular case where the extension is Galois with an elementary-abelian Galois group of exponent p. It just uses the transitivity of different exponents and Hilbert’s different formula. Let E/F be a finite Galois extension with Galois group G = Gal(E/F ). Let P be a place of F and let Q be a place of E lying above P . We assume that the c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1932
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.18.5.406