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Residue Expansions for Certain Green's Functions and Resolvent Kernels (Classic Reprint) - Couverture souple
Synopsis
Residue Expansions for Green's Functions and Resolvent Kernels A clear, rigorous look at how generalized eigenfunctions help expand functions and solve boundary value problems. This book shows a method that avoids heavy asymptotics and applies to a wide class of problems.
The text explains how a function can be represented as a series of residues using Green's functions and resolvent kernels. It covers the Poincaré-Birkhoff framework and extends it to include boundary conditions where parameters appear in the conditions themselves. Readers will see how these expansions connect to classical Fourier-type series and gain practical tools for analyzing linear differential equations.
- Derivation and interpretation of residue-based expansions for functions under general boundary conditions
- Detailed construction of Green's functions and resolvent kernels in this setting
- Techniques to handle parameters in boundary conditions and to avoid reliance on explicit eigenvalue asymptotics
- Applications to expansion problems across related integral and differential equations
Ideal for students, researchers, and professionals in applied mathematics, mathematical physics, and engineering who work with differential equations and spectral methods.
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Residue Expansions for Certain Green's Functions and Resolvent Kernels
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book explores the mathematical concept of residual expansions applied to differential equations and their use in expanding arbitrary functions in a manner attributed to Poincare-Birkhoff. The author presents results of expanding an arbitrary function in terms of the generalized eigenfunctions defined by a specified differential equation. While the method stems from the Poincare-Birkoff formula, this book extends the formula so as to yield expansions in terms of the eigenfunctions of a more complex equation. Moreover, the author removes standard restrictions placed on the constants in the boundary conditions, opening up the method to a broader range of applications. The depth of the exploration and methodology demonstrated in this book give expanded understanding of how the Poincare-Birkhoff formula can be applied, and the book's results will be significant to mathematicians, engineers and research scientists in fluid dynamics, physics, and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781334016820_0
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EUR 16,57
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Residue Expansions for Certain Green's Functions and Resolvent Kernels Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781334016820
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EUR 26,34
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Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
Quantité disponible : 15 disponible(s)
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Residue Expansions for Certain Green's Functions and Resolvent Kernels Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781334016820
Acheter neuf
EUR 25,46
Expédition à EUR 3,94
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)