%PDF-1.4 5 0 obj << /S /GoTo /D (section.1) >> endobj 8 0 obj (1. Introduction) endobj 9 0 obj << /S /GoTo /D (section.2) >> endobj 12 0 obj (2. Setup, lower bound) endobj 13 0 obj << /S /GoTo /D (section.3) >> endobj 16 0 obj (3. Interpolation in variable Hilbert scales) endobj 17 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 20 0 obj (3.1. Interpolation inequality for elements) endobj 21 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 24 0 obj (3.2. Interpolation inequality for operators) endobj 25 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 28 0 obj (3.3. Interpolation for embeddings) endobj 29 0 obj << /S /GoTo /D (section.4) >> endobj 32 0 obj (4. Linear inverse problems: Preliminary analysis) endobj 33 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 36 0 obj (4.1. Impact of Assumption A.3 on the qualification) endobj 37 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 40 0 obj (4.2. Regularization with additional smoothing) endobj 41 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 44 0 obj (4.3. Impact of operator monotonicity on norm bounds) endobj 45 0 obj << /S /GoTo /D (subsection.4.4) >> endobj 48 0 obj (4.4. Controlling the noise in different norms) endobj 49 0 obj << /S /GoTo /D (subsection.4.5) >> endobj 52 0 obj (4.5. Examples) endobj 53 0 obj << /S /GoTo /D (section.5) >> endobj 56 0 obj (5. Bounding the error in different norms) endobj 57 0 obj << /S /GoTo /D (subsection.5.1) >> endobj 60 0 obj (5.1. Bounding the error in "026B30D \040"026B30D s, sp) endobj 61 0 obj << /S /GoTo /D (subsection.5.2) >> endobj 64 0 obj (5.2. Bounding the error in "026B30D \040"026B30D 1/) endobj 65 0 obj << /S /GoTo /D (subsection.5.3) >> endobj 68 0 obj (5.3. Bounding the error in "026B30D \040"026B30D p) endobj 69 0 obj << /S /GoTo /D (subsection.5.4) >> endobj 72 0 obj (5.4. Bounding the error in "026B30D \040"026B30D X) endobj 73 0 obj << /S /GoTo /D (section.6) >> endobj 76 0 obj (6. A posteriori choice of the regularization parameter) endobj 77 0 obj << /S /GoTo /D (subsection.6.1) >> endobj 80 0 obj (6.1. Using the discrepancy principle) endobj 81 0 obj << /S /GoTo /D (subsection.6.2) >> endobj 84 0 obj (6.2. Using the Lepskii principle) endobj 85 0 obj << /S /GoTo /D (section.7) >> endobj 88 0 obj (7. Discussion of the assumptions) endobj 89 0 obj << /S /GoTo /D (section*.7) >> endobj 92 0 obj (References) endobj 93 0 obj << /S /GoTo /D [94 0 R /Fit ] >> endobj 96 0 obj << /Length 1211 /Filter /FlateDecode >> stream xڝVMs6W(T\miڤӝm=ȶW%9i36 @2e^2dV*vl5~Ѡfß3q'"ˈxM^0MZfTAb2zw)|&R6[5/nnպ~_&.%g,bmRHf7-(V]PHW뢤|A.!AXP5aեzN <Ӌ LeDk- x&B*ee(ߴݬ6_]w4]Ff]7&^VDc[of]d+W#sLXdH9\2/6qCR"cHq_}n#e7 T :I~l(g$ݬZ]Z?4"ܟib?ynR v̾&ǚ>|!AfDU dL$֥}|}8&~~ōԔ8btu6C ڤppvEXid<1BŴ4DR"GzH87ɡZ!N/A|Ruw T{݇M@#uN\MS.ACL!Iρ%C<j*^ 4.I[gC=G$'3bVSV':3Q(Ƭ/τ(!$UJe}|`LxC i ^x<@ v{3dyR➍?xf Erϑ I I&SR$#H}GqlA>'ᲳdSl5B\ͽ`9~9bL~(*-2cRr4njƘA^y<[{6OO)D GNTS~/8Guo?i/^&WH"xuK#c6y/wt/8fO]h4<A3MxyXE~vGЮ,..ԅ|'w˪.,cGcq66ZБdճM16.+sa7iOH3P1&6PV0S=l i-EW]ݝEqK Hnwtm&!X`t4HwjVwÑaZqô ;ͩ}PܿMҡPZAendstream endobj 94 0 obj << /Type /Page /Contents 96 0 R /Resources 95 0 R /MediaBox [0 0 612 792] /Parent 111 0 R >> endobj 97 0 obj << /D [94 0 R /XYZ 93.4016 734.4458 null] >> endobj 98 0 obj << /D [94 0 R /XYZ 93.4016 734.4458 null] >> endobj 108 0 obj << /D [94 0 R /XYZ 105.3568 122.3113 null] >> endobj 95 0 obj << /Font << /F29 99 0 R /F30 100 0 R /F18 101 0 R /F32 102 0 R /F34 103 0 R /F35 104 0 R /F44 107 0 R /F19 109 0 R /F33 110 0 R >> /ProcSet [ /PDF /Text ] >> endobj 114 0 obj << /Length 374 /Filter /FlateDecode >> stream xڍN0E /!?bTj+X`C-ڴr()H;37g *HIT=fzFrE&}LdC5E1 jxAPaEIj,TTxY誌m5̞D& ZMf8vep 71BkrE&1c%)dk;|YWѝc͠~.1#)weېxdmnSMw"NIApa)څCY$rfH[/c]6\+-VS%+>)\j}ِmoCܟrjxὶmĻOy۶t>e=UT*%Oendstream endobj 113 0 obj << /Type /Page /Contents 114 0 R /Resources 112 0 R /MediaBox [0 0 612 792] /Parent 111 0 R >> endobj 115 0 obj << /D [113 0 R /XYZ 93.4016 734.4458 null] >> endobj 112 0 obj << /Font << /F18 101 0 R >> /ProcSet [ /PDF /Text ] >> endobj 118 0 obj << /Length 3676 /Filter /FlateDecode >> stream xk<l4i)C h>1Hl_~}gvI$mpi_._1+/sŸYYr[mO5J{㠓]KrɅYʵ:äp2;$.{_7 >ոUMō٦o^W/Gܱ\Z.WSȗ.~ӹО!YiM5 5pLg.ԯf-\t喾;͛}ywԪji_E_55y&gH5ךekN[LY}~:UmoJEM]?eW7 ^ J@t#l:4#UM}SD@}8PnSKF3mIM_ 1{+-Y)u<.%k:+bUqm?J Os/ Wo{T]~iDžo@( lfPkZ3Z!:!;j[7TgxdJ)'$Re<0&FRb;5.oz[^r"RVNyp>Θ\v9̝ӭF^] msÔ^as /6b+h*lOAk3K_FU*K=Ue(D遺 IB F`g#v%qö/6MTQdAReAzN+a(۪f]YBψ|eooi)qDר_) #]h%dI(4004sN x6$#Pg#l-Hq\4 GU\r!ޒ?or$y@o.lY$L 's ͽ0&Vh6nPA{%7%It9?lt %)Q($eM3Uz/muĥMP@ sFiYM$9W#%Os&KPp̅pAv$w=t)V)B8ޥ<Bj NmNwZ3ńFS gC9|X9]!#, ȣ3m`ڢ+9@[+lԙ AsySvg/\7<=9466-=5kajWD8-8O2*uuUOgw8(AʢQF9̍855zs҃˶`o֓u"i08Ι5OoG0/xp$b\[xX'3=Z+I9{2vvHS5FSJ$L9"A¦O,$/X"@N1^ύ+tpYv6l 4֚9#f<cWqZzu%艂@r=Y 6YrB% " w,H<˔AX5ٻ:$Wj I%ctO\==î~TؐfڐfHH/!*~д!fBCHz8ô`*LQ{a8Hlmά 6[ԡ: {PJ03qݮ!ڿON 6 G)Ck$m Ӻ)An2F4ۃQ,ðLI|ە=:0Jbq<!'ZKap#wᆁCUW8uĊD§CzћI*(2͑JV>9"uc u.F3 S}