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978-3-540-26964-9
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9783540269649
978-3-540-26964-9
10.1007/b138375
doi
ISI Library, Kolkata
QA370-380
PBKJ
bicssc
MAT007000
bisacsh
PBKJ
thema
515.353
23
Hörmander, Lars.
author.
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http://id.loc.gov/vocabulary/relators/aut
The Analysis of Linear Partial Differential Operators II
[electronic resource] :
Differential Operators with Constant Coefficients /
by Lars Hörmander.
Berlin, Heidelberg :
Springer Berlin Heidelberg :
Imprint: Springer,
2005.
XI, 395 p.
online resource.
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Classics in Mathematics,
1431-0821
This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "Linear partial differential operators". In addition there is an entirely new chapter on convolution equations, one on scattering theory, and one on methods from the theory of analytic functions of several complex variables. The latter is somewhat limited in scope though since it seems superfluous to duplicate the monographs by Ehrenpreis and by Palamodov on this subject. The reader is assumed to be familiar with distribution theory as presented in Volume I. Most topics discussed here have in fact been encountered in Volume I in special cases, which should provide the necessary motivation and background for a more systematic and precise exposition. The main technical tool in this volume is the Fourier- Laplace transformation. More powerful methods for the study of operators with variable coefficients will be developed in Volume III. However, constant coefficient theory has given the guidance for all that work. Although the field is no longer very active - perhaps because of its advanced state of development - and although it is possible to pass directly from Volume I to Volume III, the material presented here should not be neglected by the serious student who wants to gain a balanced perspective of the theory of linear partial differential equations.
Differential equations, partial.
Operator theory.
Fourier analysis.
Numerical analysis.
Partial Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12155
Operator Theory.
http://scigraph.springernature.com/things/product-market-codes/M12139
Fourier Analysis.
http://scigraph.springernature.com/things/product-market-codes/M12058
Several Complex Variables and Analytic Spaces.
http://scigraph.springernature.com/things/product-market-codes/M12198
Numerical Analysis.
http://scigraph.springernature.com/things/product-market-codes/M14050
SpringerLink (Online service)
Springer eBooks
Printed edition:
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Printed edition:
9783540121398
Classics in Mathematics,
1431-0821
https://doi.org/10.1007/b138375
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