Fourier Series, Fourier Transform and Their Applications to Mathematical Physics (Запис № 451690)

МАРК-запис
000 -LEADER
fixed length control field 05798nam a22005895i 4500
001 - CONTROL NUMBER
control field 978-3-319-65262-7
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118144828.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 171127s2017 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319652627
-- 978-3-319-65262-7
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-65262-7
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA403.5-404.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKF
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.2433
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Serov, Valery.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Fourier Series, Fourier Transform and Their Applications to Mathematical Physics
Medium [electronic resource] /
Statement of responsibility, etc by Valery Serov.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2017.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2017.
300 ## - PHYSICAL DESCRIPTION
Extent XI, 534 p. 4 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Applied Mathematical Sciences,
Міжнародний стандартний серійний номер для назви серії (ISSN) 0066-5452 ;
Том/ позначення послідовності 197
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Part I: Fourier Series and the Discrete Fourier Transform -- Introduction -- Formulation of Fourier Series -- Fourier Coefficients and their Properties -- Convolution and Parseval Equality -- Fejer Means of Fourier Series: Uniqueness of the Fourier Series -- Riemann-Lebesgue Lemma -- Fourier Series of Square-Integrable Function: Riesz-Fischer Theorem -- Besov and Holder Spaces -- Absolute Convergence: Bernstein and Peetre Theorems -- Dirichlet Kernel: Pointwise and Uniform Congergence -- Formulation of Discrete Fourier Transform and its Properties -- Connection Between the Discrete Fourier Transform and the Fourier Transform -- Some Applications of Discrete Fourier Transform -- Applications to Solving Some Model Equations -- Part II: Fourier Transform and Distributions -- Introduction -- Fourier Transform in Schwartz Space -- Fourier Transform in Lp(Rn);1 p 2 -- Tempered Distributions -- Convolutions in S and S^1 -- Sobolev Spaces -- Homogeneous Distributions -- Fundamental Solution of the Helmholtz Operator -- Estimates for Laplacian and Hamiltonian -- Part III: Operator Theory and Integral Equations -- Introduction -- Inner Product Spaces and Hilbert Spaces -- Symmetric Operators in Hilbert Spaces -- J. von Neumann's Spectral Theorem -- Spectrum of Self-Adjoint Operators -- Quadratic Forms: Freidrich's Extension -- Elliptic Differential Operators -- Spectral Function -- Schrodinger Operator -- Magnetic Schrodinger Operator -- Integral Operators with Weak Singularities: Integral Equations of the First and Second Kind -- Volterra and Singular Integral Equations -- Approximate Methods -- Part IV: Partial Differential Equations -- Introduction -- Local Existence Theory -- The Laplace Operator -- The Dirichlet and Neumman Problems -- Layer Potentials -- Elliptic Boundary Value Problems -- Direct Scattering Problem for Helmholtz Equation -- Some Inverse Scattering Problems for the Schrodinger Operator -- The Heat Operator -- The Wave Operator.
520 ## - SUMMARY, ETC.
Summary, etc This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering. .
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Available to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access from local network of NaUOA.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access with authorization at https://link.springer.com/
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн-доступ з локальної мережі НаУОА.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн доступ з авторизацією на https://link.springer.com/
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Fourier analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Partial differential equations.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Fourier Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12058
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Physics.
-- http://scigraph.springernature.com/things/product-market-codes/M35000
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Partial Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12155
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319652610
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319652634
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319879857
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Applied Mathematical Sciences,
-- 0066-5452 ;
Volume number/sequential designation 197
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-319-65262-7">https://doi.org/10.1007/978-3-319-65262-7</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type ЕКнига

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