Last modified by hjmartik@helsinki_fi on 2024/03/27 10:46
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1 = Harmonic analysis and square functions, fall 2015 =
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6 **Teacher:** [[Henri Martikainen>>url:http://wiki.helsinki.fi/display/mathstatHenkilokunta/Henri+Martikainen||shape="rect"]]
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8 **Scope:** 5 op
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10 **Type:** Advanced studies
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12 **Teaching: **Weeks 44-50, Monday and Friday 14-16 in room B321. First lecture on Monday October 26th.
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14 **Topics:** Dyadic methods in harmonic analysis, boundedness properties of square functions, Tb type theorems, applications of square functions.
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16 We will cover techniques which are of fundamental importance in the modern research of singular integrals and square functions.
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18 **Prerequisites:** (% style="color: rgb(96,96,96);" %)Basic knowledge on measure theory, Lebesgue integration and //L^^p^^-//(% style="color: rgb(96, 96, 96); color: rgb(96, 96, 96)" %)spaces, (% style="color: rgb(96,96,96);line-height: 1.4285715;" %)as covered e.g. in the courses "Mitta ja integraali" and "Reaalianalyysi I".
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21 === {{toc maxLevel="4" minLevel="2" indent="20px"/}} ===
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23 == News ==
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25 *
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27 == Teaching schedule ==
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29 Weeks 44-50, Monday and Friday 14-16 in room B321.
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31 == Course material ==
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33 Lecture notes, updated Wednesday 25 November: [[LectureNotes_25Nov2015>>attach:HarAnSF4.pdf]]
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35 == [[Registration>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57072||shape="rect"]] ==
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37 (% style="color: rgb(96,96,96);" %)No registration needed, just come to the first lecture.
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39 == Exercises ==
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41 Exercises will be collected and then graded by [[Emil Vuorinen>>url:http://wiki.helsinki.fi/display/mathstatHenkilokunta/Vuorinen,+Emil||shape="rect"]].
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43 Passing the course (if you want the 5 credits) is based on doing enough of the exercises; details are written on the first exercise set.
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45 === Assignments ===
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47 * [[Set 1>>attach:HarAnSF_Exercises_1.pdf]] [[Solutions for Set 1>>attach:EV_Solutions1.pdf]]
48 * [[Set 2>>attach:HarAnSF_Exercises_2.pdf]] [[Hints for Set 2>>attach:HarAnSF_Hints_2.pdf]] [[Solutions for Set 2>>attach:HArAnSF_set2_solutions_v2.pdf]]
49 * [[Set 3>>attach:HarAnSF_Exercises_3.pdf]] [[Solutions for Set 3>>attach:HArANSF_solutions_set 3.pdf]]
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51 == Course feedback ==
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53 Course feedback can be given at any point during the course. Click [[here>>url:https://elomake.helsinki.fi/lomakkeet/11954/lomake.html||style="line-height: 1.4285;" shape="rect"]].