Fonctions opérant sur les fonctions définies-positives

DOI10.5802/aif.137zbMath0143.36003OpenAlexW2318220972MaRDI QIDQ2523281

Carl S. Herz

Publication date: 1963

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1963__13_1_161_0

zbMATH Keywords

locally compact abelian groupcontinuous positive definite functions

Mathematics Subject Classification ID

Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (18)

Matrix positivity preservers in fixed dimension. I ⋮ Functions that preserve families of positive semidefinite matrices ⋮ Functions operating on positive definite functions ⋮ Positivity preservers forbidden to operate on diagonal blocks ⋮ Critical exponents of graphs ⋮ Continuity of functions operating on characteristic functions ⋮ A panorama of positivity. II: Fixed dimension ⋮ Positivity preserving Hadamard matrix functions ⋮ Matrix positivity preservers in fixed dimension ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture ⋮ On the symbolic calculus of Bernoulli convolutions ⋮ Fonctions operant sur les fonctions definies-négatives ⋮ Preserving positivity for matrices with sparsity constraints ⋮ Symbolic calculus for positive definite functions ⋮ Functions preserving positive definiteness for sparse matrices ⋮ Strictly Hermitian positive definite functions ⋮ Functional Calculus and Positive-Definite Functions ⋮ Preserving positivity for rank-constrained matrices

Cites Work

• Positive definite sequences and absolutely monotonic functions
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