An Introduction to the Uncertainty Principle
Thangavelu, Sundaram
Produktnummer:
18984dbb0d29c34f6cafdd8de3d9f3081f
Autor: | Thangavelu, Sundaram |
---|---|
Themengebiete: | Fourier transfoms Fourier transform abstract harmonic analysis harmonic analysis several complex variables |
Veröffentlichungsdatum: | 12.10.2012 |
EAN: | 9781461264682 |
Sprache: | Englisch |
Seitenzahl: | 174 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Birkhäuser Boston |
Untertitel: | Hardy’s Theorem on Lie Groups |
Produktinformationen "An Introduction to the Uncertainty Principle"
In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer sity of Cambridge. One result of Wiener's visit to Cambridge was his well-known text The Fourier Integral and Certain of its Applications; another was a paper by G. H. Hardy in the 1933 Journalofthe London Mathematical Society. As Hardy says in the introduction to this paper, This note originates from a remark of Prof. N. Wiener, to the effect that "a f and g [= j] cannot both be very small". ... The theo pair of transforms rems which follow give the most precise interpretation possible ofWiener's remark. Hardy's own statement of his results, lightly paraphrased, is as follows, in which f is an integrable function on the real line and f is its Fourier transform: x 2 m If f and j are both 0 (Ix1e- /2) for large x and some m, then each is a finite linear combination ofHermite functions. In particular, if f and j are x2 x 2 2 2 both O(e- / ), then f = j = Ae- / , where A is a constant; and if one x 2 2 is0(e- / ), then both are null.

Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen