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Related papers: Generalization of Gutzwiller Approximation

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We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Klein , Peter Collas

In the present paper, we define the generalized Kwang-Wu Chen matrix. Basic properties of this generalization, such as explicit formulas and generating functions are presented. Moreover, we focus on a new class of generalized Fubini…

Combinatorics · Mathematics 2022-07-05 Madjid Sebaoui , Diffalah Laissaoui , Ghania Guettai , Mourad Rahmani

For some class of mappings, which are generalization of space quasiisometries, an upper estimate for a measure of image of a ball is obtained. As consequence, it is obtained one analog of Schwartz lemma for mappings mentioned above. Results…

Complex Variables · Mathematics 2014-12-31 Ruslan Salimov , Evgeny Sevost'yanov

A generalization of the quotient integral formula is presented and some of its properties are investigated. Also the relations between two function spaces related to the spacial homogeneous spaces are derived by using general quotient…

Representation Theory · Mathematics 2017-02-22 T. Derikvand , R. A. Kamyabi-Gol , M. Janfada

Corrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account magnetic components in the weak field…

General Relativity and Quantum Cosmology · Physics 2009-03-12 S. Capozziello , M. De Laurentis , F. Garufi , L. Milano

The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with an approximate analytic description of particle motion in a gravitational wave as spelled out for the…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Q-L Zhao , P. -M. Zhang , M. Elbistan , P. A. Horvathy

Generalized models provide a framework for the study of evolution equations without specifying all functional forms. The generalized formulation of problems has been shown to facilitate the analytical investigation of local dynamics and has…

Dynamical Systems · Mathematics 2014-06-24 Christian Kuehn , Stefan Siegmund , Thilo Gross

We study the differential properties of generalized arc schemes, and geometric versions of Kolchin's Irreducibility Theorem over arbitrary base fields. As an intermediate step, we prove an approximation result for arcs by algebraic curves.

Algebraic Geometry · Mathematics 2009-01-14 Johannes Nicaise , Julien Sebag

We consider general subordination and obtain the formula of the subordinated predictable compensator. An example of application is given.

Probability · Mathematics 2015-10-19 Henry Chiu

The Wess-Zumino action for generalized orientifold planes (GOp-planes) is presented and a series power expantion is realized from which processes that involves GOp-planes, RR-forms, gravitons and gaugeons, are obtained. Finally non-standard…

High Energy Physics - Theory · Physics 2007-05-23 Juan Fernando Ospina Giraldo

In this paper we study a group theoretical generalization of the well-known Gauss's formula that uses the generalized Euler's totient function introduced in [11].

Group Theory · Mathematics 2016-02-22 Marius Tarnauceanu

We introduce a generalized framework for studying higher-order versions of the multiscale method known as Localized Orthogonal Decomposition. Through a suitable reformulation, we are able to accommodate both conforming and nonconforming…

Numerical Analysis · Mathematics 2025-06-25 Moritz Hauck , Alexei Lozinski , Roland Maier

We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.

Numerical Analysis · Mathematics 2016-05-31 Aaron Melman

In this paper we consider the problem of deformation quantization of the algebra of polynomial functions on coadjoint orbits of semisimple lie groups. The deformation of an orbit is realized by taking the quotient of the universal…

Quantum Algebra · Mathematics 2007-05-23 R. Fioresi , M. A. Lledo

Generalizations of some known results on the best, best linear and best one-sided approxima- tions by trigonometric polynomials of the classes of 2\pi - periodic functions presented in the form of convolutions to the case of set-valued…

Functional Analysis · Mathematics 2015-04-29 V. F. Babenko , V. V. Babenko , M. V. Polischuk

In this paper, we propose a parametrised factor that enables inference on Gaussian networks where linear dependencies exist among the random variables. Our factor representation is effectively a generalisation of traditional Gaussian…

Machine Learning · Computer Science 2022-08-05 J. C. Schoeman , C. E. van Daalen , J. A. du Preez

We shall consider some special generalizations of Euler's factorial series. First we construct Pad\'e approximations of the second kind for these series. Then these approximations are applied to study global relations of certain p-adic…

Number Theory · Mathematics 2017-05-12 Keijo Väänänen

We introduce and study the generalized Wigner operator. By definition, such an operator transforms the Wigner wave function into a local relativistic field corresponding to an irreducible representation of the Poincar\'e group by extended…

High Energy Physics - Theory · Physics 2023-04-13 I. L. Buchbinder , A. P. Isaev , M. A. Podoinitsyn , S. A. Fedoruk

We study operators that are generalizations of the classical Riemann-Liouville fractional integral, and of the Riemann-Liouville and Caputo fractional derivatives. A useful formula relating the generalized fractional derivatives is proved,…

Classical Analysis and ODEs · Mathematics 2012-10-29 Tatiana Odzijewicz , Agnieszka B. Malinowska , Delfim F. M. Torres

We determine the best n-term approximation of generalized Wiener model classes in a Hilbert space $H $. This theory is then applied to several special cases.

Numerical Analysis · Mathematics 2024-06-26 Ronald DeVore , Guergana Petrova , Przemyslaw Wojtaszczyk