Remarks Concerning Characteristic Functions
نویسندگان
چکیده
منابع مشابه
Some remarks concerning harmonic functions on homogeneous graphs
We obtain a new result concerning harmonic functions on infinite Cayley graphs X : either every nonconstant harmonic function has infinite radial variation in a certain uniform sense, or there is a nontrivial boundary with hyperbolic properties at infinity of X . In the latter case, relying on a theorem of Woess, it follows that the Dirichlet problem is solvable with respect to this boundary. C...
متن کاملSome Remarks concerning Functions with All Their Wavelet Coefficients Vanishing
For a compactly supported wavelet there are non-polynomial functions with all their wavelet coeecients vanishing, and the class U of such functions has been characterized by P.-G. Lemari e-Rieusset. In this paper we study the properties of this class U more closely, and show how U relates to the characterization of function spaces in terms of wavelet coeecients, the asymptotic behavior of the w...
متن کاملTwo Remarks Concerning Balanced Matroids
The property of balance (in the sense of Feder and Mihail) is investigated in the context of paving matroids. The following examples are exhibited: (a) a class of “sparse” paving matroids that are balanced, but at the same time rich enough combinatorially to permit the encoding of hard counting problems; and (b) a paving matroid that is not balanced. The computational significance of (a) is the...
متن کاملRemarks concerning Linear Characters of Reflection Groups
Let G be a finite group generated by unitary reflections in a Hermitian space V , and let ζ be a root of unity. Let E be a subspace of V , maximal with respect to the property of being a ζ-eigenspace of an element of G, and let C be the parabolic subgroup of elements fixing E pointwise. If χ is any linear character of G, we give a condition for the restriction of χ to C to be trivial in terms o...
متن کاملSome Remarks Concerning the Baum-Connes Conjecture
P. Baum and A. Connes have made a deep conjecture about the calculation of the K-theory of certain types of C∗-algebras [1, 2]. In particular, for a discrete group Γ they have conjectured the calculation of K∗(C r (Γ)), the Ktheory of the reduced C∗-algebra of Γ. So far, there is quite little evidence for this conjecture. For example, there is not a single property T group for which it is known...
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: The Annals of Mathematical Statistics
سال: 1957
ISSN: 0003-4851
DOI: 10.1214/aoms/1177706883