Stephan Paukner :: syslog

I finished chapter IV on friday and continued on Hilbert space theory. Unfortunately, when it came to connections with Fourier transformation (Sobolev and Schwartz spaces, distributions), my understanding began to slow down. Some questions occured:

1. Why is for and , i.e., why is
   
   
   
   for with compact support? Why do the border terms in the partial integration disappear in this case?
2. What’s so special about functions with compact support anyway?

Ich sehe immer öfter - vor allem im Winter - junge Menschen in Jacken mit pelzberandeten Kapuzen. Diese Jacken sind meist grau oder zumindest dunkel, manchmal aber auch weiß. Auffällig ist aber die Kapuze, die am Rand mit einem hellen, flauschigen Pelz abgeschlossen ist.

Das alleine ist ja noch nicht das Kuriose, sondern, dass diese Pelzkapuzen stets im Rudel auftreten: Wo eine ist, ist der Rest der Bande nicht weit. Pro Bande wird selbstverständlich nur exakt das gleiche Modell getragen. Allesamt, ob männlich oder weiblich, sind die Mitglieder etwa 180cm groß, schlank, und um die 23 Jahre alt. Hinzu kommt ein kleiner Tussi- bzw. Prolo-Faktor.

War ich auch mal so komisch? Nun gut, bei mir waren’s die unsäglichen “Grunger”-Hemden, aber bitte, da war ich 15/16. Und von Jeans brauchen wir sowieso nicht sprechen.

I tried to have chapter IV (Main theorems about operators on banach spaces) of Werner’s “Functional Analysis” done by the end of February, but I just managed to do until Chapter III (Theorem of Hahn-Banach and its consequences). It’s not so easy to follow the content without repeating the former theorems and results, but at least I regain the feeling for the topics. Karin will have functional analysis as her second exam topic, and even she told me about having forgotten most of the contents already. So, I’m not really badly off.

I even have to do some more, working through the script of Prof. Cigler and having a look at the basics of time-frequency analysis. In April, I want to be that far that I’ll only have to look into my books I bought from HGFei in January.

I also want to see if Rudin’s “Functional Analysis” could be of worth for me. I already possess his “Real and Complex Analysis” in a German translation, which I’ll need if I really take measure theory for my master exam.

I don’t have an iPod. I don’t need one. If I had one, I wouldn’t know what to do with it, except selling it. I don’t listen to music regularly anymore, for me, that time has been more than 10 years ago. I used a simple Sony Walkman, and all CDs I bought got copied over to music cassettes.

And I really don’t understand what’s the hype with podcasting. While I still understand high interest in music, I can’t imagine replacing music by spoken text in everyday life. People in underground trains and streetcars surely give their brains a rest and let their thoughts flow while listening to their favorite music. But can they really relax while following a (maybe even scientific) “radio broadcast” consisting of spoken text? Or have I misunderstood what a podcast is?

But, I have a weblog. And I’m on Linux. I’m still cool.