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010   $a981-13-6370-6
024 7 $a10.1007/978-981-13-6370-2
035   $a(CKB)4100000008525834
035   $a(DE-He213)978-981-13-6370-2
035   $a(MiAaPQ)EBC5771196
035   $a(PPN)23566667X
035   $a(EXLCZ)994100000008525834
100   $a20190429d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aConstruction of Wavelets Through Walsh Functions /$fby Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
205   $a1st ed. 2019.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019.
215   $a1 online resource (XXII, 382 p. 7 illus.) 
225 1 $aIndustrial and Applied Mathematics,$x2364-6837
311   $a981-13-6369-2 
327   $aChapter 1. Introduction to Walsh Analysis and Wavelets -- Chapter 2. Walsh-Fourier Series -- Chapter 3. Haar?Fourier Analysis -- Chapter 4. Construction of Dyadic Wavelets through Walsh Functions -- Chapter 5. Orthogonal And Periodic Wavelets On Vilenkin Groups -- Chapter 6. Haar-Vilenkin Wavelet -- Chapter 7. Construction Biorthogonal Wavelets and Frames -- Chapter 8. Wavelets associated with Nonuniform Multiresolution analysis on positive half line -- Chapter 9. Orthogonal Vector Valued Wavelets on R+ -- Appendices.
330   $aThis book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh?Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar?Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book?s main theme. Based on lectures that the authors presented at several international conferences, the notions and concepts introduced in this interdisciplinary book can be applied to any situation where wavelets and their variants are used. Most of the applications of wavelet analysis and Walsh analysis can be tried for newly constructed wavelets. Given its breadth of coverage, the book offers a valuable resource for theoreticians and those applying mathematics in diverse areas. It is especially intended for graduate students of mathematics and engineering and researchers interested in applied analysis.
410  0$aIndustrial and Applied Mathematics,$x2364-6837
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615 14$aAnalysis.
676   $a515
700   $aFarkov$b Yu. A$4aut$4http://id.loc.gov/vocabulary/relators/aut$01059599
702   $aManchanda$b Pammy$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aSiddiqi$b Abul Hasan$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910350247503321
996   $aConstruction of Wavelets Through Walsh Functions$92507120
997   $aUNINA