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Pseudodifferential Operators and Wavelets over Real and p adic Fields

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at;

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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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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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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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Advances in Ultrametric Analysis

algebras, G -modules with a convex base, non-compact Trace class operators and Schatten-class operators in p -adic Hilbert spaces, algebras;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this;

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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99

The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators;

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Mathematical Sciences Research Institute Publications

, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.;

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Mathematical Sciences Research Institute Publications

, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.;

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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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London Mathematical Society Lecture Note Series

of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral;

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The Classical Fields

The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven;

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Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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Traces And Determinants Of Pseudodifferential Operators

increasingly urgent. Providing a broad account of the theory of traces and determinants on algebras of differential and pseudodifferential operators;

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Introduction to p-adic Analytic Number Theory

book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and;

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Recent Developments in Quantum Mechanics

and magnetic fields. The 22 papers, two in French, discuss various techniques from semiclassical analysis and pseudodifferential operators;

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Generalized Functions and Fourier Analysis

Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume;

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Generalized Functions and Fourier Analysis

Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume;

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Wavelets and Operators

Over the last two years, wavelet methods have shown themselves to be of considerable use to harmonic analysts and, in particular, advances;

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P-Adic Functional Analysis

This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p;

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Rigid Cohomology over Laurent Series Fields

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive;

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Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers;

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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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Cambridge Studies in Advanced Mathematics

. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes;

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p-adic Analysis Compared with Real

spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and $p$-adic;

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