E Book

Regularity Properties of Functional Equations in Several Variables

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Preliminaries -- Steinhaus Type Theorems -- Boundedness and Continuity of Solutions -- Differentiability and Analyticity -- Regularity Theorems on Manifolds -- Regularity Results with Fewer Variables -- Applications.This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assumption?” This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables. These results show that "weak” regularity properties, say measurability or continuity, of solutions imply that they are in C[infinity], and hence the equation can be reduced to a differential equation. A long introduction highlights the basic ideas for beginners. Several applications are also included. Audience This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Boston : Springer., 2005

Deskripsi Fisik

IX, 363 p.online resource.

Bahasa

English

ISBN/ISSN

9780387244143

Klasifikasi

515.625

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Difference equations.
Functional equations.
Difference and Functional Equations.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Antal Járai.

Versi lain/terkait

Lampiran Berkas

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