000 03064nam a22005415i 4500
001 978-3-7643-7582-9
003 DE-He213
005 20161121231036.0
007 cr nn 008mamaa
008 100301s2006 sz | s |||| 0|eng d
020 _a9783764375829
_9978-3-7643-7582-9
024 7 _a10.1007/3-7643-7582-5
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aTriebel, Hans.
_eauthor.
245 1 0 _aTheory of Function Spaces III
_h[electronic resource] /
_cby Hans Triebel.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2006.
300 _aXII, 426 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMonographs in Mathematics ;
_v100
505 0 _aHow to Measure Smoothness -- Atoms and Pointwise Multipliers -- Wavelets -- Spaces on Lipschitz Domains, Wavelets and Sampling Numbers -- Anisotropic Function Spaces -- Weighted Function Spaces -- Fractal Analysis: Measures, Characteristics, Operators -- Function Spaces on Quasi-metric Spaces -- Function Spaces on Sets.
520 _aThis book deals with the recent theory of function spaces as it stands now. Special attention is paid to some developments in the last 10–15 years which are closely related to the nowadays numerous applications of the theory of function spaces to some neighbouring areas such as numerics, signal processing and fractal analysis. In particular, typical building blocks as (non-smooth) atoms, quarks, wavelet bases and wavelet frames are discussed in detail and applied afterwards to some outstanding problems of the recent theory of function spaces such as a local smoothness theory, fractal measures, fractal analysis, spaces on Lipschitz domains and on quasi-metric spaces. The book is essentially self-contained, although it might also be considered as the continuation of the two previous books of the author with the same title which appeared as volumes 78 and 84 in this book series. It is directed to mathematicians working in analysis, numerics and fractal geometry, and to (theoretical) physicists interested in related subjects such as signal processing.
650 0 _aMathematics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aApproximation theory.
650 0 _aFunctional analysis.
650 0 _aNumerical analysis.
650 0 _aPhysics.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aFunctional Analysis.
650 2 4 _aNumerical Analysis.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aApproximations and Expansions.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764375812
830 0 _aMonographs in Mathematics ;
_v100
856 4 0 _uhttp://dx.doi.org/10.1007/3-7643-7582-5
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c507684
_d507684