## *** WELCOME TO FOURIER SERIES & INTEGRAL TRANSFORMS *** . *** ( F. S. I. T. ) *** .

We wish you a very pleasant, interesting and successful experience with this course.

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## BELOW THIS LINE ARE OLD ANNOUNCEMENTS FROM EARLIER SEMESTERS. (Some of these can still be quite useful.)

6.6.2005. Here is a pdf file which displays the "slides" which I used in today's lecture about Laplace transforms for the classes of Avi Levy and Gershon Wolansky. (Some misprints, hopefully all misprints have been corrected.) This file does not include various additional remarks made during the lecture vocally and on the blackboard, for example, about integrals on [0,infinity) and convolutions.
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If you want to see why we should not be robots and why I congratulate Yaacov Marko, you can visit my very old Fourier site here and look there at the entries for 17/9/01.
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### ANNOUNCEMENTS FOR THE WINTER SEMESTER 2004/5

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19.3.05 Here is (one version of) the examination of 16.3.05. And here is a solution of it (updated on 24.3.05).
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1.3.05 Here is a probably not final version of some notes which explain an exact way of defining and using Fourier transforms of certain functions which are not absolutely integrable. In fact this definition works for "functions" which are not even really functions, like the Dirac delta "function". Of course you are NOT expected to know any of this material for examinations in this course, but this material may help you have a deeper understanding of certain topics in later courses such as "Otot uMarakhot". (A new version (1.9) of these notes was posted here on 2/2/2006, but it is quite similar to the previous version. Several small misprints have been corrected.)

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20.02.04 Here is a 'compact' version of the examination of 15/2/2005. And here is a solution of it.
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27.01.04 Here is a list of the topics that you will be expected to know for the examination.
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23.1.05 Here is Homework Exercises No. 4.
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17.1.05 The CD with pictures of the blackboards from my lectures has now been updated. For more details see here.
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11.1.05 Here is the third set of homework exercises.
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6.1.05 Here is the second set of homework exercises.
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27.12.04 You can see a solution of the mid term test on the official course website (page of the Metargel Akhrayi) or here. It can save a lot of time, both for you and for us if you look at this solution BEFORE you come to look at your makhberet from that test. Many thanks to Yoram Yihyie for writing most of the solution.

CHANGE OF ORDER OF INTEGRATION FOR GENERALISED INTEGRALS ON AN UNBOUNDED INTERVAL.
Here is a formulation of Fubini's theorem which is useful for changing order of integration in connection with Fourier transforms.
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9.12.04 Since some students are still asking questions about what topics are included or not included in Sunday's test, I have included further clarifications in the old announcement below. You can also see it directly here.
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1/12/04 The midterm test is on Sunday December 12 at 17:30. The rooms are shown in the usual place on the "undergraduate" website. You should be ready to to answer questions on all the subjects treated in our lectures and tirgulim up to and including Dirichlet's theorem, including of course exercises which use Dirichlet's theorem. If this does not define what you need to know sufficiently precisely for you, you can read this.
If you have questions before the test you can of course come to the sha'ot kabala of the lecturers and metargelim.
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27.11.04 Three things today:
(a) Here is a summary (Version 4.6, revised on 9.5.06). It deals with TWO topics:
(1) Differentiation and integration of Fourier series, term by term, including a connection with uniform convergence, and
(2) Fourier series on other intervals instead of [-pi,pi].

We are now discussing or will soon be discussing Topic (1). Topic (2) is simpler and may be left for you to study privately.
(b) Topic (1) includes a mention of uniform convergence. (hitkansut b'mida-shava). This is something which you are supposed to remember from Hedva 1M (or Hedva 2M). Although, in general, uniform convergence is very important, it only plays a limited role in this particular course. Here is a quick summary, a "Uniform Convergence Survival Kit" containing the main things you need to know about uniform convergence for this course.
(c) Viewing my lectures.

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22.11.04 A REVISED VERSION of the first set of homework exercises is here. (As announced earlier, there will not be any grade for homework and there will not be any correcting of homework. However on the mid term test and also on the final exam there will be at least one question taken from the homework exercises.)
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28.10.04 Please click here for VERY IMPORTANT information about (1) the format of the tests/exams, (2) the calculation of your tsiyun sofi, (3) homework exercises, (4) miluim during the semester or test or exam, (5) students with learning disabilities.

26.10.04 To go to the OFFICIAL website for this course click here. That site also contains ESSENTIAL information, exercises, text book, previous examinations, etc. There is also a link from there, and from here to the page of the Metargel Akhrayi where you can see office hours for your teachers, dates of examinations etc.

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To go directly to download or read the text book for this course, written by Allan Pinkus and Samy Zafrany, click here, or here,
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### Click here for old announcements from 2003 and earlier.

(Some of this old information can be quite useful.)