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Theory of p-adic Distributions

This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution;

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Value Distribution in P-Adic Analysis

field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory;

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p adic Hodge Theory

This proceedings volume contains articles related to the research presented at the 2017 Simons Symposium on p-adic Hodge theory. This;

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Introduction to p-adic Analytic Number Theory

This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises, it will acquaint;

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P-adic Aspects Of Modular Forms

look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L;

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London Mathematical Society Lecture Note Series

This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts;

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p-adic Numbers

fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers;

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p-adic Numbers

fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers. From;

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p-adic Numbers, p-adic Analysis, and Zeta-Functions

The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and;

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P-Adic Analysis

1989, was dedicated to the memory of Philippe Robba, his important contributions to p-adic analysis and especially to the theory of p-adic;

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Berkeley Lectures on p-adic Geometry

Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his;

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Introduction to Classical & p-ADIC Theory of Linear Operators & Applications

differential equations, and an elegant introduction to basic concepts and methods of the rapidly growing theory of the so-called p-adic operator theory.;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory;

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The p-adic Simpson Correspondence (AM-193)

results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost etale extensions and a;

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The p-adic Simpson Correspondence (AM-193)

results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost etale extensions and a;

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P-adic Analytic Functions

meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with;

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Berkeley Lectures on padic Geometry (AMS207)

Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his;

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Cambridge Studies in Advanced Mathematics

advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to;

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London Mathematical Society Lecture Note Series

starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to;

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Some Aspects of the Theory of p-adic Entire Functions

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Ultrametric Pseudodifferential Equations and Applications

, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented;

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P-Adic Functional Analysis

-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical;

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Modular Representation Theory of Finite and p-ADIC Groups

This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical;

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Advances in Non-Archimedean Analysis and Applications

applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p;

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Integration of One-forms on P-adic Analytic Spaces. (AM-162)

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For;

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Integration of One-forms on P-adic Analytic Spaces. (AM-162)

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For;

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Automorphic Forms & Galois Representati

in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and;

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