The Regularization of Unitary Matrix Functions
نویسندگان
چکیده
منابع مشابه
Unitary Matrix Functions, Wavelet Algorithms, and Structural Properties of Wavelets
Some connections between operator theory and wavelet analysis: Since the mid eighties, it has become clear that key tools in wavelet analysis rely crucially on operator theory. While isolated variations of wavelets, and wavelet constructions had previously been known, since Haar in 1910, it was the advent of multiresolutions, and sub-band filtering techniques which provided the tools for our ab...
متن کاملdeterminant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولOn the Digraph of a Unitary Matrix
Given a matrix M of size n, the digraph D on n vertices is said to be the digraph of M , when Mij 6= 0 if and only if (vi, vj) is an arc of D. We give a necessary condition, called strong quadrangularity, for a digraph to be the digraph of a unitary matrix. With the use of such a condition, we show that a line digraph, − → L D, is the digraph of a unitary matrix if and only if D is Eulerian. It...
متن کاملThe Replica Limit of Unitary Matrix Integrals
We investigate the replica trick for the microscopic spectral density, ρs(x), of the Euclidean QCD Dirac operator. Our starting point is the low-energy limit of the QCD partition function for n fermionic flavors (or replicas) in the sector of topological charge ν. In the domain of the smallest eigenvalues, this partition function is simply given by a U(n) unitary matrix integral. We show that t...
متن کاملOn the Pattern of a Unitary Matrix
Given a digraph D on n vertices, a matrix A of size n is said to have pattern D, if it has entry Aij 6= 0 if and only if (vi, vj) is an arc of D. We give a necessary condition, which is called strong quadrangularity, for a digraph to be the pattern of a unitary matrix. With the use of such a condition, we show that a line digraph L (D) is the pattern of a unitary matrix if and only if D is Eule...
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: Research Bulletin of the National Technical University of Ukraine "Kyiv Polytechnic Institute"
سال: 2016
ISSN: 1810-0546
DOI: 10.20535/1810-0546.2016.4.70997