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101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFunction Spaces and Wavelets on Domains$b[electronic resource] /$fHans Triebel
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008
215   $a1 online resource (265 pages)
225 0 $aEMS Tracts in Mathematics (ETM)$v7
330   $aWavelets have emerged as an important tool in analyzing functions  containing discontinuities and sharp spikes. They were developed  independently in the fields of mathematics, quantum physics, electrical  engineering, and seismic geology. Interchanges between these fields  during the last ten years have led to many new wavelet applications such  as image compression, turbulence, human vision, radar, earthquake  prediction, and pure mathematics applications such as solving partial  differential equations.      This book develops a theory of wavelet bases and wavelet frames for function spaces on various  types of domains. Starting with the usual spaces on Euclidean spaces and their periodic counterparts, the  exposition moves on to so-called thick domains (including Lipschitz  domains and snowflake domains). Especially, wavelet expansions and  extensions to corresponding spaces on Euclidean n-spaces are  developed. Finally, spaces on smooth and cellular domains and related  manifolds are treated.      Although the presentation relies on the recent theory of function spaces, basic notation and classical results are  repeated in order to make the text self-contained.    The book is addressed to two types of readers:   researchers in the theory of function spaces who are interested in wavelets as new effective building blocks for functions, and scientists who wish to use wavelet bases in classical function spaces for various applications.  Adapted to the second type of readers, the preface contains a guide to where one finds basic definitions and key  assertions.
606   $aFunctional analysis$2bicssc
606   $aFunctional analysis$2msc
606   $aMeasure and integration$2msc
606   $aFourier analysis$2msc
615 07$aFunctional analysis
615 07$aFunctional analysis
615 07$aMeasure and integration
615 07$aFourier analysis
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700   $aTriebel$b Hans$040793
801  0$bch0018173
906   $aBOOK
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996   $aFunction Spaces and Wavelets on Domains$92564457
997   $aUNINA