Preservers of totally positive kernels and Pólya frequency functions
From MaRDI portal
Publication:2160316
DOI10.5802/mrr.12zbMath1494.42007arXiv2110.08206OpenAlexW4286903229MaRDI QIDQ2160316
Mihai Putinar, Apoorva Khare, Dominique Guillot, Alexander C. R. Belton
Publication date: 3 August 2022
Published in: Mathematics Research Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08206
Pólya frequency sequencemultivariate statisticsexponential random variablespherical functionorbital integraltotally positive functionPólya frequency functionentrywise transformationHirschman-Widder density
Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Laplace transform (44A10) Positive definite functions in one variable harmonic analysis (42A82) Functional inequalities, including subadditivity, convexity, etc. (39B62) Kernel operators (47B34)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrix positivity preservers in fixed dimension. I
- KP solitons and total positivity for the Grassmannian
- On totally positive matrices
- Positive definite sequences and absolutely monotonic functions
- Hadamard powers of rank two, doubly nonnegative matrices
- Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules
- Proof of a conjecture of M.L. Eaton on the characteristic function of the Wishart distribution
- Rayleigh theorem, projection of orbital measures and spline functions
- Invariant generalized functions in homogeneous domains
- Représentations factorielles de type \(II_1\) de \(U(\infty)\)
- Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
- On fractional Hadamard powers of positive definite matrices
- Tensor product multiplicities, canonical and totally positive varieties
- The Laplace transform \((\det s)^{-p} \exp \operatorname{tr}(s^{-1}w)\) and the existence of non-central Wishart distributions
- Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions
- Combinatorics and total positivity
- Parametrizations of canonical bases and totally positive matrices
- Gabor frames and totally positive functions
- Moment-sequence transforms
- Hirschman-Widder densities
- Multivariate calculation. Use of the continuous groups
- Multiple positivity and the Riemann zeta-function
- On Polya frequency functions. IV: The fundamental spline functions and their limits
- Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
- On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
- A reduction theorem for totally positive matrices
- On the generating functions of totally positive sequences. I
- On the generating functions of totally positive sequences. II
- Positive definite functions on spheres
- On the zeros of the generating functions of multiply positive sequences and functions
- Metrics induced by Jensen-Shannon and related divergences on positive definite matrices
- Differential Operators on a Semisimple Lie Algebra
- Unimodal, log-concave and Pólya frequency sequences in combinatorics
- The Analytic Continuation of the Discrete Series. II
- Variation Diminishing Transformations: A Direct Approach to Total Positivity and its Statistical Applications
- QUANTIZATION IN COMPLEX SYMMETRIC SPACES
- Double Bruhat cells and total positivity
- On Wishart and noncentral Wishart distributions on symmetric cones
- The planar approximation. II
- Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
- KP solitons, total positivity, and cluster algebras
- On the sign patterns of entrywise positivity preservers in fixed dimension
- Smooth entrywise positivity preservers, a Horn–Loewner master theorem, and symmetric function identities
- Increasing Properties of Polya Frequency Function
- Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
- Total Positivity, Absorption Probabilities and Applications
- The Inversion of a General Class of Convolution Transforms
- On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves
- Totally positive matrices
- Total positivity: tests and parametrizations.
- Characterizing total positivity: Single vector tests via linear complementarity, sign non‐reversal and variation diminution
