عنوان

Distributions, Partial Differential Equations, and Harmonic Analysi

شابک

9781461482086

کد کشور

IR

شماره

EN-52409

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Distributions, Partial Differential Equations, and Harmonic Analysi

نام عام مواد

[Book]

ساير اطلاعات عنواني

:[delta

نام نخستين پديدآور

/ by Dorina Mitrea

محل نشرو پخش و غیره

New York, NY

نام ناشر، پخش کننده و غيره

: Springer New York :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2013.

نام خاص و کميت اثر

XXI, 460 p., online resource.

عنوان فروست

(Universitext,0172-5939)

متن يادداشت

Electronic

متن يادداشت

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity.

متن يادداشت

Introduction -- Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces -- Appendix -- References..?╗╣

عنوان

Universitext,0172-5939

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Fourier analysis

موضوع مستند نشده

Functional analysis

موضوع مستند نشده

Differential equations, partial

موضوع مستند نشده

Potential theory (Mathematics)

موضوع مستند نشده

Electronic books

شماره رده

مستند نام اشخاص تاييد نشده

Mitrea, Dorina.

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9781461482079.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9781461482079.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y