Ryoichi Kunisada

activity

20152023

collaborators

Showing 2017Show all

3 papers · 1 filter

math.FA2017

Summability methods and Fourier analysis on $R^{\times}$

Ryoichi Kunisada

We introduce a certain class of summability methods on $L^{\infty} ([1, \infty))$ which is defined by convolution in the group algebra $L^{1} (R^{\times})$ . This class contain…

math.FA2017

Invariant linear functionals on $L^{\infty} (R_{+})$

Ryoichi Kunisada

We consider a continuous version of the classical notion of Banach limits, namely, positive linear functionals on $L^{\infty} (R_{+})$ invariant under translations $f(x) \map…

math.FA2017

Functional analytic approach to Cesàro mean

Ryoichi Kunisada

We study a certain class $P$ of positive linear functionals $φ$ on $L^{\infty} ([1, \infty))$ for which $φ (f) = α$ if $lim_{x \to \infty} \frac{1}{x} \int_{1}^{x} f (t) d t = α$ .…

Summability methods and Fourier analysis on R×

Invariant linear functionals on L∞(R+​)

Functional analytic approach to Cesàro mean

Summability methods and Fourier analysis on $R^{\times}$

Invariant linear functionals on $L^{\infty} (R_{+})$