Polynomial functions of the odd orthogonal group
نویسندگان
چکیده
منابع مشابه
On polynomial integrals over the orthogonal group
We consider integrals of type ∫ On u1 11 . . . u an 1nu b1 21 . . . u bn 2n du, with respect to the Haar measure on the orthogonal group. We establish several remarkable invariance properties satisfied by such integrals, by using combinatorial methods. We present as well a general formula for such integrals, as a sum of products of factorials. Introduction The computation of polynomial integral...
متن کاملOrthogonal Polynomial Method and Odd Vertices in Matrix Models
The method of orthogonal polynomials is a powerful technique for the non perturbative integration of matrix models over one [1] or more matrices [2] in particular with even potential, i.e. with vertices with an even number of legs. Indeed, with even potential, the calculation simplifies both because the integrals are well defined and, as we shall see, the number of equations needed to solve the...
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولFuzzy subgroups of the direct product of a generalized quaternion group and a cyclic group of any odd order
Bentea and Tu{a}rnu{a}uceanu~(An. c{S}tiinc{t}. Univ. Al. I.Cuza Iac{s}, Ser. Nouv{a}, Mat., {bf 54(1)} (2008), 209-220)proposed the following problem: Find an explicit formula for thenumber of fuzzy subgroups of a finite hamiltonian group of type$Q_8times mathbb{Z}_n$ where $Q_8$ is the quaternion group oforder $8$ and $n$ is an arbitrary odd integer. In this paper weconsider more general grou...
متن کاملQuasi-orthogonal expansions for functions in BMO
For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M
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: Journal of Algebra
سال: 1983
ISSN: 0021-8693
DOI: 10.1016/0021-8693(83)90148-5