The Affine Frame in -adic Analysis
In this paper, we will introduce the concept of affine frame in wavelet analysis to the field of -adic number, hence provide new mathematic tools for application of -adic analysis.
The average distribution of cubic exponential sums.
The Behavior of Rigid Analytic Functions Around Orbits of Elements of <>
The dilogarithm and the norm residue symbol
The expected number of zeros of a random system of -adic polynomials.
The Heisenberg uncertainty relation in harmonic analysis on -adic numbers field
In this paper, two important geometric concepts–grapical center and width, are introduced in -adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in -adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on -adic numbers field.
The hyperadelic gamma function.
The Kazandzidis supercongruences. A simple proof and an application
The measure-theoretical approach to -adic probability theory
The -adic gamma function and the congruences of Atkin and Swinnerton-Dyer
The -adic -transform
The p-adic differential equation y' = wy in the closed unit disk.
The problems of the non-Archimedean analysis generated by quantum physics
The rationality of the Poincaré series associated to the p-adic points on a variety.
Théorie de Baire -adique
Théorie de Galois -adique
Towards a General Theory of Formally ...-Adic Fields.
Trace functions and Galois invariant p-adic measures.
Transformation de Cauchy p-adique et algèbre d'Iwasawa.
Transformation de Fourier -adique et produit tensoriel de corps valués