LEADER 03546nam 22007214a 450 001 9910782193703321 005 20210524204845.0 010 $a1-282-19474-7 010 $a9786612194740 010 $a3-11-019927-0 024 7 $a10.1515/9783110199277 035 $a(CKB)1000000000520522 035 $a(EBL)325662 035 $a(OCoLC)232160035 035 $a(SSID)ssj0000211921 035 $a(PQKBManifestationID)11201635 035 $a(PQKBTitleCode)TC0000211921 035 $a(PQKBWorkID)10135758 035 $a(PQKB)11104451 035 $a(MiAaPQ)EBC325662 035 $a(DE-599)GBV587950498 035 $a(DE-B1597)32447 035 $a(OCoLC)979837968 035 $a(DE-B1597)9783110199277 035 $a(Au-PeEL)EBL325662 035 $a(CaPaEBR)ebr10194835 035 $a(CaONFJC)MIL219474 035 $a(OCoLC)935267380 035 $z(PPN)175560609 035 $a(PPN)140518568 035 $a(EXLCZ)991000000000520522 100 $a20030307d2003 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear integral operators and applications$b[electronic resource] /$fCarlo Bardaro, Julian Musielak, Gianluca Vinti 210 $aBerlin ;$aNew York $cWalter de Gruyter$d2003 215 $a1 online resource (213 p.) 225 1 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v9 300 $aDescription based upon print version of record. 311 0 $a3-11-017551-7 320 $aIncludes bibliographical references (p. [183]-198) and index. 327 $tFront matter --$tContents --$tChapter 1. Kernel functionals and modular spaces --$tChapter 2. Absolutely continuous modulars and moduli of continuity --$tChapter 3. Approximation by convolution type operators --$tChapter 4. Urysohn integral operators with homogeneous kernel functions. Applications to nonlinear Mellin-type convolution operators --$tChapter 5. Summability methods by convolution-type operators --$tChapter 6. Nonlinear integral operators in the space BV? --$tChapter 7. Application to nonlinear integral equations --$tChapter 8. Uniform approximation by sampling type operators. Applications in signal analysis --$tChapter 9. Modular approximation by sampling type operators --$tBack matter 330 $aIn 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This book rep 410 0$aGruyter series in nonlinear analysis and applications ;$v9. 606 $aIntegral operators 606 $aNonlinear operators 615 0$aIntegral operators. 615 0$aNonlinear operators. 676 $a515/.723 686 $aCC 2600$2rvk 700 $aBardaro$b Carlo$0299269 701 $aMusielak$b Julian$f1928-$048429 701 $aVinti$b Gianluca$0299270 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782193703321 996 $aNonlinear integral operators and applications$9730083 997 $aUNINA