Kontakt
Wie einkaufen
Versand
Kaufberater
Harmonic Analysis on Semigroups
Theory of Positive Definite and Related Functions
Englisch
132 b
30 Tage für die Rückgabe der Ware
Kunden kauften auch
/
Broschur
130.29
€
/
Kalender
56.39
€
/
Broschur
66.99
€
The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, ) which are positive definite in the sense that the matrix (qJ(sJ + Sk" is positive definite for all finite choices of elements St, . . . , Sn from S. The three basic results mentioned above correspond to (~, +, x = -x), ([0, 00[, +, x = x) and (No, +, n = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.
Informationen zum Buch
Englisch
Verschenken Sie dieses Buch noch heute
Es ist ganz einfach
1 Legen Sie das Buch in Ihren Warenkorb und wählen Sie den Versand als Geschenk 2 Wir schicken Ihnen umgehend einen Gutschein 3 Das Buch wird an die Adresse des beschenkten Empfängers geliefertDas könnte Sie auch interessieren
/
Broschur
21.89
€
/
Broschur
16.39
€
