Impossibility of almost extension

A Note for Extension of Almost Sure Central Limit Theory

for any continuity point x of H . Several papers have dealt with logarithmic limit theorems of this kind and the above relation has been extended in various directions. Fahrner and Stadtmüller [5] gave an almost sure version of a maximum limit theorem. Berkes and Horváth [2] obtained a strong approximation for the logarithmic average of sample extremes. Berkes and Csáki [1] showed that not only...

Sampling and Generalized Almost Periodic Extension of Functions

This brief explores the connections between nonuniform sampling of a certain function and the almost periodic extension of its Fourier transform. It is shown that the Fourier transform of a band-limited function can be extended (as a weighted sum of translates) as a Stepanoff almost periodic function to the whole frequency axis. This result leads to a generalized nonuniform sampling theorem whi...

On the Extension of Boundary Integrable Almost Complex Structure

THE ROPER-SUFFRIDGE EXTENSION OPERATORS ON THE CLASS OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE $beta$ AND ORDER $alpha$

Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings o...

Impossibility of SNARGs∗

In the last few years, applications such practical verifiable computation, anonymous cryptocurrencies (e.g. Zcash), signature of knowledge and etc have made succinct non-interactive arguments (SNARGs) as an active research area for ground-breaking researchers. A non-interactive computationally sound argument (proof system) for NP is succinct if the its proof size is polylogarithmic the instance...