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Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions
Berg, Christian; Christensen, J. P. R.; Ressel, P.
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Description for Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions
hardcover. Series: Graduate Texts in Mathematics. Num Pages: 302 pages, biography. BIC Classification: PBG; PBKF. Category: (G) General (US: Trade); (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 19. Weight in Grams: 1350.
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. ... Read more
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. ... Read more
Product Details
Format
Hardback
Publication date
1984
Publisher
Springer United States
Number of pages
302
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
292
Place of Publication
New York, NY, United States
ISBN
9780387909257
SKU
V9780387909257
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Ref
99-15
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