On Some Functional Equations Involving Involutions
نویسندگان
چکیده
منابع مشابه
Some Power Series Involving Involutions in Coxeter Groups
Let W be a Coxeter group. We show that a certain power series involving a sum over all involutions in W can be expressed in terms of the Poincaré series of W . (The case where W is finite has been known earlier.) Introduction 0.1. Let V ′ be an n-dimensional vector space over the finite field Fq and let V = Fq2⊗FqV ′, an n-dimensional vector space over Fq2 . Let F : V → V be the Fq-linear isomo...
متن کاملSome Logarithmic Functional Equations
The functional equation f(y − x) − g(xy) = h (1/x− 1/y) is solved for general solution. The result is then applied to show that the three functional equations f(xy) = f(x)+f(y), f(y−x)−f(xy) = f(1/x−1/y) and f(y−x)−f(x)−f(y) = f(1/x−1/y) are equivalent. Finally, twice differentiable solution functions of the functional equation f(y − x) − g1(x) − g2(y) = h (1/x− 1/y) are determined.
متن کاملSome remarks on signs in functional equations
To Robert Rankin Let k be a number field, and let M be a pure motive of weight n over k. Assume that there is a non-degenerate pairing M × M → Q(−n). For example, M could arise from the cohomology in degree n of a projective, smooth, geometrically connected variety X of dimension n over k, and the pairing from the cup product. In this case, the pairing will be symplectic (alternating) if n is o...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
On Some Results Involving the Čebyšev Functional and Its Generalisations
Recent results involving bounds of the Čebyšev functional to include means over different intervals are extended to a measurable space setting. Sharp bounds are obtained for the resulting expressions of the generalised Čebyšev functionals where the means are over different measurable sets.
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: Sitzungsberichte und Anzeiger der mathematisch-naturwissenschaftlichen Klasse
سال: 2008
ISSN: 0723-791X,1728-0540
DOI: 10.1553/sunda2007ssii3