Search Results - Positive definite functions in one variable harmonic analysis

Positive Definite Matrices by Bhatia, Rajendra

“…This book represents the first synthesis of the considerable body of new research into positive definite matrices…”
Get full text

Dilations of Markovian semigroups of measurable Schur multipliers by Arhancet, Cédric

“…Using probabilistic tools, we prove that any weak* continuous semigroup $(T_t)_{t \geqslant 0}$ of self-adjoint unital completely positive measurable Schur multipliers acting on the space…”
Get full text

Fourier Series in Several Variables with Applications to Partial Differential Equations by Shapiro, Victor L.

“… on antiderivatives and nontangential limits to higher dimensions. The importance of surface spherical harmonic functions is emphasized throughout…”
Get full text

Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics by Kieburg, Mario, Li, Shi-Hao, Zhang, Jiyuan, Forrester, Peter J.

“…A framework to study the eigenvalue probability density function for products of unitary random matrices with an invariance property is developed…”
Get full text

Analysis on Complete Set of Fock States with Explicit Wavefunctions for the Covariant Harmonic Oscillator Problem by Bedić, Suzana, Kong, Otto

“…The earlier treatments of the Lorentz covariant harmonic oscillator have brought to light various difficulties, such as reconciling Lorentz symmetry with the full Fock space, and divergence issues…”
Get full text

Extensions of Positive Definite Functions: Applications and Their Harmonic Analysis by Jorgensen, Palle, Pedersen, Steen, Tian, Feng

“…We study two classes of extension problems, and their interconnections: (i) Extension of positive definite (p.d…”
Get full text

On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains by Thankamani, Princy, Sebastian, Nicy, Haubold, Hans J.

“… Carlson’s hypergeometric mean averages a scalar function over a real scalar variable type-1 Dirichlet measure, which is known in the current literature as the Dirichlet average of that function…”
Get full text

Functional equations on hypergroups by Szekelyhidi, Laszlo

“…The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc…”
Get full text

Analysis on Complete Set of Fock States with Explicit Wavefunctions for the Covariant Harmonic Oscillator Problem by Bedić, Suzana, Kong, Otto C W

“…The earlier treatments of Lorentz covariant harmonic oscillator have brought to light various difficulties, such as reconciling Lorentz symmetry with the full Fock space, and divergence issues…”
Get full text

An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain by Sui, Yubing, Zhang, Donghao, Cao, Junying, Zhang, Jun

“… Then by using orthogonal properties of spherical harmonic functions and variable separation technique we transform the original problem into a series of one-dimensional eigenvalue problems…”
Get full text

Completely Hyperexpansive Operator Tuples by Athavale, Ameer, Sholapurkar, V.M.

“… are closely related to the Levy-Khinchin representation in the theory of harmonic analysis on semigroups. The interplay between the theories of positive and negative…”
Get full text

Probabilistic bounds with quadratic-exponential moments for quantum stochastic systems by Vladimirov, Igor G

“… The QEMs play an important role for statistical ``localisation'' of the quantum dynamics in the form of upper bounds on the tail probability distribution for a positive definite quadratic function of the system variables…”
Get full text

Reliable and Efficient Numerical Methods for Time Harmonic Electromagnetic Design Problems by Kataja, Juhani

“… The motivation of the result is the adjoint variable method aimed at computing the derivative of a cost function of a generic optimization problem…”
Get full text

(1+1)-dimensional separation of variables by Pucacco, Giuseppe, Rosquist, Kjell

“…In this paper we explore general conditions which guarantee that the geodesic flow on a 2-dimensional manifold with indefinite signature is locally separable…”
Get full text

Tail bounds for Multivariate Random Tensor Means by Shih-Yu, Chang

“… In this context, tensors are treated as finite-dimensional operators. However, the longstanding challenge of extending the concept of operator means to scenarios involving more than two variables had persisted…”
Get full text

The Matrix-variate Dirichlet Averages and Its Applications by Princy, T, Nicy Sebastian

“… Carlson's hypergeometric mean is to average a scalar function over a real scalar variable type-1 Dirichlet measure and this in the current literature is known as Dirichlet average of that function…”
Get full text

Nonlinear adaptive control of electromechanical systems by Chen, Degang

“… Using a new coupled Lyapunov function dynamics technique, we establish robustness to model…”
Get full text