منابع مشابه
Infinite Products of Infinite Measures
Let (Xi, Bi, mi) (i ∈ N) be a sequence of Borel measure spaces. There is a Borel measure μ on ∏ i∈N Xi such that if Ki ⊆ Xi is compact for all i ∈ N and ∏ i∈N mi(Ki) converges then μ( ∏ i∈N Ki) = ∏ i∈N mi(Ki)
متن کاملInfinite Sums, Infinite Products, and ζ(2k)
The most basic concept is that of an infinite sequence (of real or complex numbers in these notes). For p ∈ Z, let Np = {k ∈ Z : k ≥ p}. An infinite sequence of (complex) numbers is a function a : Np → C. Usually, for n ∈ Np we write a(n) = an, and denote the sequence by a = {an}n=p. The sequence {an}n=p is said to converge to the limit A ∈ C provided that for each > 0 there is an N ∈ Z such th...
متن کاملInfinite Fusion Products
In this paper we study an approximation of tensor product of irreducible integrable sl2 representations by infinite fusion products. This gives an approximation of the corresponding coset theories. As an application we represent characters of spaces of these theories as limits of certain restricted Kostka polynomials. This leads to the bosonic (which is known) and fermionic (which is new) formu...
متن کاملZeta regularization of infinite products
The problem of regularizing infinite products is a long standing one in mathematical and theoretical physics, as well as in mathematics, of course. Several either formal or rigorous techniques have been introduced. One that obtained an undiscussed favor is the zeta regularization. The idea is simple to write down in a formal way (so as it as been used for a long times by physicists), and has go...
متن کاملInfinite Products of Cyclotomic Polynomials
We study analytic properties of certain infinite products of cyclotomic polynomials that generalize some introduced by Mahler. We characterize those that have the unit circle as a natural boundary and use associated Dirichlet series to obtain their asymptotic behavior near roots of unity.
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: Fundamenta Mathematicae
سال: 1988
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-131-3-255-256