The Journal of geometric analysis, ISSN 1559-002X, 2017, Volume 28, Issue 3, pp. 2254 - 2287

In this article, we propose the notion of the general p-affine capacity and prove some basic properties for the general p-affine capacity, such as affine...

53A15 | p -Affine capacity | p -Variational capacity | Mathematics | L_p$$ L p Affine Sobolev | p -Integral affine surface area | 52A38 | L_p$$ L p projection body | Abstract Harmonic Analysis | Fourier Analysis | L_p$$ L p Affine isoperimetric inequality | 46E35 | Convex and Discrete Geometry | 46E30 | Global Analysis and Analysis on Manifolds | Asymmetric $$L_p$$ L p affine Sobolev inequality | General $$L_p$$ L p affine isoperimetric inequality | Differential Geometry | Dynamical Systems and Ergodic Theory | Isocapacitary inequality | p-Variational capacity | Asymmetric L | p-Affine capacity | affine Sobolev inequality | p-Integral affine surface area | Affine Sobolev | General L | affine isoperimetric inequality | projection body | L-p projection body | BRUNN-MINKOWSKI INEQUALITY | General L-p affine isoperimetric inequality | SOBOLEV | MATHEMATICS | POLYA-SZEGO PRINCIPLE | L-p Affine Sobolev inequality | EQUALITY | Asymmetric L-p affine Sobolev inequality | L-p Affine isoperimetric inequality

53A15 | p -Affine capacity | p -Variational capacity | Mathematics | L_p$$ L p Affine Sobolev | p -Integral affine surface area | 52A38 | L_p$$ L p projection body | Abstract Harmonic Analysis | Fourier Analysis | L_p$$ L p Affine isoperimetric inequality | 46E35 | Convex and Discrete Geometry | 46E30 | Global Analysis and Analysis on Manifolds | Asymmetric $$L_p$$ L p affine Sobolev inequality | General $$L_p$$ L p affine isoperimetric inequality | Differential Geometry | Dynamical Systems and Ergodic Theory | Isocapacitary inequality | p-Variational capacity | Asymmetric L | p-Affine capacity | affine Sobolev inequality | p-Integral affine surface area | Affine Sobolev | General L | affine isoperimetric inequality | projection body | L-p projection body | BRUNN-MINKOWSKI INEQUALITY | General L-p affine isoperimetric inequality | SOBOLEV | MATHEMATICS | POLYA-SZEGO PRINCIPLE | L-p Affine Sobolev inequality | EQUALITY | Asymmetric L-p affine Sobolev inequality | L-p Affine isoperimetric inequality

Journal Article

2011, CRM Proceedings and Lecture Notes, ISBN 0821872834, Volume 54, xvii, 334

Book

European journal of control, ISSN 0947-3580, 2007, Volume 13, Issue 2-3, pp. 242 - 260

This tutorial paper is concerned with the identification of hybrid models, i.e. dynamical models whose behavior is determined by interacting continuous and...

linear separation | parameter estimation | switched affine and piecewise affine models | classification | Hybrid system identification | Siwitched affine and piecewise affine models | Parameter estimation | Linear separation | Classification | MODELS | APPROXIMATION | hybrid system identification | DYNAMICS | PIECEWISE AFFINE SYSTEMS | AUTOMATION & CONTROL SYSTEMS

linear separation | parameter estimation | switched affine and piecewise affine models | classification | Hybrid system identification | Siwitched affine and piecewise affine models | Parameter estimation | Linear separation | Classification | MODELS | APPROXIMATION | hybrid system identification | DYNAMICS | PIECEWISE AFFINE SYSTEMS | AUTOMATION & CONTROL SYSTEMS

Journal Article

2017, Contemporary mathematics, ISBN 9781470424602, Volume 683., x, 361 pages

Book

Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2019, Volume 371, Issue 6, pp. 3747 - 3786

We construct two associative algebras from a vertex operator algebra V and a general automorphism g of V. The first, called a g-twisted zero-mode algebra, is a...

MATHEMATICS | REPRESENTATIONS | AFFINE

MATHEMATICS | REPRESENTATIONS | AFFINE

Journal Article

ISPRS Journal of Photogrammetry and Remote Sensing, ISSN 0924-2716, 10/2017, Volume 132, pp. 61 - 76

Robust image matching is crucial for many applications of remote sensing and photogrammetry, such as image fusion, image registration, and change detection. In...

Grid-wise affine model | Robust feature matching | Local affine extension | AB-SLT | Support line voting | Affine-invariant ratios | SIFT | SPEEDED-UP | SENSING IMAGE REGISTRATION | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | GEOGRAPHY, PHYSICAL | GEOSCIENCES, MULTIDISCIPLINARY | REMOTE SENSING | Analysis | Remote sensing | Algorithms | Voting | Imaging systems

Grid-wise affine model | Robust feature matching | Local affine extension | AB-SLT | Support line voting | Affine-invariant ratios | SIFT | SPEEDED-UP | SENSING IMAGE REGISTRATION | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | GEOGRAPHY, PHYSICAL | GEOSCIENCES, MULTIDISCIPLINARY | REMOTE SENSING | Analysis | Remote sensing | Algorithms | Voting | Imaging systems

Journal Article

Journal of Algebra, ISSN 0021-8693, 09/2018, Volume 510, pp. 259 - 288

A quandle will be called quasi-affine, if it embeds into an affine quandle. Our main result is a characterization of quasi-affine quandles, by group-theoretic...

Commutator theory | Quasi-affine modes | Medial quandles | Quasi-affine algebras | Abelian algebras | Affine quandles | Quandles | ALEXANDER QUANDLES | EXTENSIONS | MATHEMATICS | ALGEBRAS | QUASI-AFFINE | RACKS

Commutator theory | Quasi-affine modes | Medial quandles | Quasi-affine algebras | Abelian algebras | Affine quandles | Quandles | ALEXANDER QUANDLES | EXTENSIONS | MATHEMATICS | ALGEBRAS | QUASI-AFFINE | RACKS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 08/2009, Volume 257, Issue 3, pp. 641 - 658

A new sharp affine L Sobolev inequality for functions on R is established. This inequality strengthens and implies the previously known affine L Sobolev...

Sobolev inequalities | Affine isoperimetric inequalities

Sobolev inequalities | Affine isoperimetric inequalities

Journal Article

2017, Cambridge studies in advanced mathematics, ISBN 1107167485, Volume 170, xiv, 644 pages

"Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of...

Group theory | Geometry, Algebraic | Differential algebraic groups | Affine algebraic groups | Linear algebraic groups

Group theory | Geometry, Algebraic | Differential algebraic groups | Affine algebraic groups | Linear algebraic groups

Book

Mathematische Nachrichten, ISSN 0025-584X, 10/2017, Volume 290, Issue 14-15, pp. 2154 - 2169

The concept of quasi‐affine frame in Euclidean spaces was introduced to obtain translation invariance of the discrete wavelet transform. We extend this concept...

local field | quasi‐affine frame | translation invariance | Bessel sequence | Primary: 42C15 | affine frame | co‐affine frame | quasi-affine frame | co-affine frame | MATHEMATICS | CANTOR DYADIC GROUP | ORTHOGONAL WAVELETS

local field | quasi‐affine frame | translation invariance | Bessel sequence | Primary: 42C15 | affine frame | co‐affine frame | quasi-affine frame | co-affine frame | MATHEMATICS | CANTOR DYADIC GROUP | ORTHOGONAL WAVELETS

Journal Article

COMPTES RENDUS MATHEMATIQUE, ISSN 1631-073X, 08/2019, Volume 357, Issue 8, pp. 681 - 685

We give a new integral formula for the centro-projective area of a convex body, which was first defined by Berck-Bernig-Vernicos. We then use the formula to...

MATHEMATICS | AFFINE SURFACE

MATHEMATICS | AFFINE SURFACE

Journal Article

Advances in mathematics (New York. 1965), ISSN 0001-8708, 2017, Volume 320, pp. 157 - 209

We show that sheet closures appear as associated varieties of affine vertex algebras. Further, we give new examples of non-admissible affine vertex algebras...

Affine Kac–Moody algebra | Affine W-algebra | Nilpotent orbit | Associated variety | Sheet | Affine vertex algebra | PRIMITIVE-IDEALS | HOMOGENEOUS SPACES | CENTRALIZERS | MATHEMATICS | REPRESENTATION-THEORY | MODULES | FINITE | QUANTIZATION | DIFFERENTIAL-OPERATORS | Affine Kac-Moody algebra | QUANTUM REDUCTION | Algebra

Affine Kac–Moody algebra | Affine W-algebra | Nilpotent orbit | Associated variety | Sheet | Affine vertex algebra | PRIMITIVE-IDEALS | HOMOGENEOUS SPACES | CENTRALIZERS | MATHEMATICS | REPRESENTATION-THEORY | MODULES | FINITE | QUANTIZATION | DIFFERENTIAL-OPERATORS | Affine Kac-Moody algebra | QUANTUM REDUCTION | Algebra

Journal Article

1994, Cambridge tracts in mathematics, ISBN 0521441773, Volume 111, xiv, 263

Book

Advances in Mathematics, ISSN 0001-8708, 07/2017, Volume 315, pp. 88 - 101

The rationality of the parafermion vertex operator algebra K(g,k) associated to any finite dimensional simple Lie algebra g and any nonnegative integer k is...

Affine Kac–Moody algebras | Vertex operator algebras | MATHEMATICS | Affine Kac-Moody algebras | W-ALGEBRAS | MODULAR INVARIANCE | AFFINE | VIRASORO | Algebra

Affine Kac–Moody algebras | Vertex operator algebras | MATHEMATICS | Affine Kac-Moody algebras | W-ALGEBRAS | MODULAR INVARIANCE | AFFINE | VIRASORO | Algebra

Journal Article

2013, Student mathematical library, ISBN 9780821891766, Volume 67, xiii, 298

Book

Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2018, Volume 370, Issue 1, pp. 553 - 576

In this paper we study the dimension theory of planar self-affine sets satisfying dominated splitting in the linear parts and the strong separation condition....

Self-affine measures | Self-affine sets | Hausdorff dimension | self-affine sets | MATHEMATICS | FORMULA

Self-affine measures | Self-affine sets | Hausdorff dimension | self-affine sets | MATHEMATICS | FORMULA

Journal Article

Pattern Recognition Letters, ISSN 0167-8655, 09/2013, Volume 34, Issue 12, pp. 1381 - 1385

•Mapping models used in image registration should form a group.•We show that so-called weak affine transform is neither invertible nor closed.•We show there...

Area-preserving affine transform | Image registration | Weak affine transform | Affine subgroups | Affine transform | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Area-preserving affine transform | Image registration | Weak affine transform | Affine subgroups | Affine transform | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2018, Volume 70, Issue 1, pp. 25 - 70

The homogeneous affine surfaces have been classified by Opozda. They may be grouped into 3 families, which are not disjoint. The connections which arise as the...

Affine gradient yamabe soliton | Riemannian extension | homogeneous affine surface | Affine killing vector field | Affine gradient ricci soliton | MATHEMATICS | COMPACT SURFACES | 2-DIMENSIONAL MANIFOLDS | affine Killing vector field | CLASSIFICATION | affine gradient Ricci soliton | CONNECTIONS | affine gradient Yamabe soliton

Affine gradient yamabe soliton | Riemannian extension | homogeneous affine surface | Affine killing vector field | Affine gradient ricci soliton | MATHEMATICS | COMPACT SURFACES | 2-DIMENSIONAL MANIFOLDS | affine Killing vector field | CLASSIFICATION | affine gradient Ricci soliton | CONNECTIONS | affine gradient Yamabe soliton

Journal Article

2005, London Mathematical Society lecture note series, ISBN 0521609186, Volume 319, xii, 434

This is an essentially self-contained monograph in an intriguing field of fundamental importance for Representation Theory, Harmonic Analysis, Mathematical...

Harmonic analysis | Hecke algebras | Affine algebraic groups | Knizhnik-Zamolodchikov equations | Orthogonal polynomials | Knizhnik-Zamoldchikov equations

Harmonic analysis | Hecke algebras | Affine algebraic groups | Knizhnik-Zamolodchikov equations | Orthogonal polynomials | Knizhnik-Zamoldchikov equations

Book

Mathematische Nachrichten, ISSN 0025-584X, 06/2019, Volume 292, Issue 6, pp. 1304 - 1314

In contrast to the situation with self‐affine tiles, the representation of self‐affine multi‐tiles may not be unique (for a fixed dilation matrix). Let K⊂Rn be...

28A80 | wavelet sets | 52C22 | tiling sets | self‐affine multi‐tiles | self‐affine collection | self-affine multi-tiles | self-affine collection | MATHEMATICS | DIGIT SETS | CONSTRUCTION | MULTIRESOLUTION ANALYSIS | TOPOLOGICAL-STRUCTURE | SIMILAR TILINGS

28A80 | wavelet sets | 52C22 | tiling sets | self‐affine multi‐tiles | self‐affine collection | self-affine multi-tiles | self-affine collection | MATHEMATICS | DIGIT SETS | CONSTRUCTION | MULTIRESOLUTION ANALYSIS | TOPOLOGICAL-STRUCTURE | SIMILAR TILINGS

Journal Article

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