Measures which are convolution exponentials
نویسندگان
چکیده
منابع مشابه
Measures Which Are Convolution Exponentials
Let M(R) denote the measure algebra on the additive group of the reals. R. G. Douglas recently pointed out to us the importance of the following question in the study of Wiener-Hopf integral equations: if fxÇ:M(R) is invertible, then under what conditions does jit = exp(j>) for some vGM(R)? The relevance of the above question in integral equations stems from the fact that if JJLÇÏM(R) is invert...
متن کاملConvolution of Volume Measures
If M1 and M2 are hypersurfaces in R and μ1 and μ2 are their volume measures, we provide a formula for the absolutely continuous part h of μ1∗μ2. We prove h is continuous off a compact set of measure zero, and calculate it explicitely if M1 and M2 are spheres.
متن کاملTranscendence Measures for Exponentials and Logarithms
In the present paper, we derive transcendence measures for the numbers log a, e, aP, (log aj)/(log 02) from a previous lower bound of ours on linear forms in the logarithms of algebraic numbers. Subject classification (Amer. Math Soc. (MOS) 1970): 10 F 05, 10 F 35
متن کاملConvolution of Discrete Measures on Linear Groups
Let p, q ∈ R such that 1 < p < 2 and 2 p = 1 + 1q . Define ‖f‖p = max x,G1 ( ∑ y∈G1 |f(xy)|p )1/p (*) where G1 is taken in some class of subgroups specified later. We prove the following two theorems about convolutions. Theorem 2. Let G = SL2(C) equipped with the discrete topology. Then there is a constant τ = τp > 0 such that for f ∈ `(G) ‖f ∗ f‖1/2 q ≤ C‖f‖1−τ p (‖f‖p) , where the maximum in ...
متن کاملUniform measures and convolution on topological groups
Uniform measures are the functionals on the space of bounded uniformly continuous functions that are continuous on every bounded uniformly equicontinuous set. This paper describes the role of uniform measures in the study of convolution on an arbitrary topological group.
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: Bulletin of the American Mathematical Society
سال: 1970
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1970-12494-6