Výsledky vyhledávání - Positive definite functions in one variable harmonic analysis

Positive Definite Matrices Autor Bhatia, Rajendra

“…This book represents the first synthesis of the considerable body of new research into positive definite matrices…”
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Dilations of Markovian semigroups of measurable Schur multipliers Autor 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…”
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Fourier Series in Several Variables with Applications to Partial Differential Equations Autor Shapiro, Victor L.

“… on antiderivatives and nontangential limits to higher dimensions. The importance of surface spherical harmonic functions is emphasized throughout…”
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Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics Autor 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…”
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Analysis on Complete Set of Fock States with Explicit Wavefunctions for the Covariant Harmonic Oscillator Problem Autor 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…”
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Extensions of Positive Definite Functions: Applications and Their Harmonic Analysis Autor Jorgensen, Palle, Pedersen, Steen, Tian, Feng

“…We study two classes of extension problems, and their interconnections: (i) Extension of positive definite (p.d…”
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Functional equations on hypergroups Autor 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…”
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On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains Autor 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…”
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Analysis on Complete Set of Fock States with Explicit Wavefunctions for the Covariant Harmonic Oscillator Problem Autor 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…”
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An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain Autor 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…”
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Completely Hyperexpansive Operator Tuples Autor 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…”
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Probabilistic bounds with quadratic-exponential moments for quantum stochastic systems Autor 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…”
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Reliable and Efficient Numerical Methods for Time Harmonic Electromagnetic Design Problems Autor 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…”
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(1+1)-dimensional separation of variables Autor 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…”
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Tail bounds for Multivariate Random Tensor Means Autor 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…”
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The Matrix-variate Dirichlet Averages and Its Applications Autor 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…”
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Nonlinear adaptive control of electromechanical systems Autor Chen, Degang

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