1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S’ (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint o...1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S’ (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint operator-d~2/dt~2+1+t~2 in L~2(R).展开更多
In this paper, by using a variation of the Chebyshev's method, we present a very simple, elementary proof of an inequality which has applications in number theory.
基金Work supported by National Natural Science Foundation of China.
文摘1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S’ (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint operator-d~2/dt~2+1+t~2 in L~2(R).
基金Supported by the National Natural Science Foundation of China (No.10171099)
文摘In this paper, by using a variation of the Chebyshev's method, we present a very simple, elementary proof of an inequality which has applications in number theory.