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Foundations of Time-Frequency Analysis

Posted By: AvaxGenius
Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis by Karlheinz Gröchenig
English | PDF | 2001 | 367 Pages | ISBN : 0817640223 | 25.8 MB

Time-frequency analysis is a modern branch of harmonic analysis. It com­ prises all those parts of mathematics and its applications that use the struc­ ture of translations and modulations (or time-frequency shifts) for the anal­ ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym­ metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book.

Topics in Clifford Analysis: Special Volume in Honor of Wolfgang Sprößig (Repost)

Posted By: AvaxGenius
Topics in Clifford Analysis: Special Volume in Honor of Wolfgang Sprößig (Repost)

Topics in Clifford Analysis: Special Volume in Honor of Wolfgang Sprößig by Swanhild Bernstein
English | EPUB | 2019 | 503 Pages | ISBN : 3030238539 | 32 MB

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis.

Signal Processing: A Mathematical Approach, Second Edition

Posted By: AvaxGenius
Signal Processing: A Mathematical Approach, Second Edition

Signal Processing: A Mathematical Approach, Second Edition by Charles L. Byrne
English | PDF(True) | 2015 | 436 Pages | ISBN : 1482241846 | 4.6 MB

Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics―including familiarity with Fourier series, matrices, probability, and statistics

Pseudodifferential Equations Over Non-Archimedean Spaces (Repost)

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Pseudodifferential Equations Over Non-Archimedean Spaces (Repost)

Pseudodifferential Equations Over Non-Archimedean Spaces By W. A. Zúñiga-Galindo
English | EPUB | 2016 | 175 Pages | ISBN : 3319467379 | 3.47 MB

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation.

An Introduction to Laplace Transforms and Fourier Series, Second Edition (Repost)

Posted By: AvaxGenius
An Introduction to Laplace Transforms and Fourier Series, Second Edition (Repost)

An Introduction to Laplace Transforms and Fourier Series, Second Edition By Phil Dyke
English | EPUB | 2014 | 318 Pages | ISBN : 144716394X | 4.7 MB

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets.

Geometric Algebra Computing: in Engineering and Computer Science

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Geometric Algebra Computing: in Engineering and Computer Science

Geometric Algebra Computing: in Engineering and Computer Science by Eduardo Bayro-Corrochano
English | PDF(True) | 2010 | 527 Pages | ISBN : 1849961077 | 22.4 MB

Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in question. Many current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra, such as multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras, and conformal geometry.