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05/2011, Encyclopaedia of mathematical sciences. Invariant theory and algebraic transformation groups, ISBN 3642183980, Volume 8, 249

eBook

The Journal of geometric analysis, ISSN 1559-002X, 10/2011, Volume 23, Issue 2, pp. 895 - 932

One defines a non-homogeneous space (X,μ) as a metric space equipped with a non-doubling measure μ...

BMO | Non-homogeneous spaces | Calderón–Zygmund operator | Hardy spaces | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | 42B20 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Calderón-Zygmund operator

BMO | Non-homogeneous spaces | Calderón–Zygmund operator | Hardy spaces | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | 42B20 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Calderón-Zygmund operator

Journal Article

2005, 1. Aufl., Encyclopaedia of mathematical sciences, ISBN 3540228985, Volume 4, xiv, 250

.... Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras...

Geometry, Projective | Duality theory (Mathematics) | Homogeneous spaces | Geometry, algebraic

Geometry, Projective | Duality theory (Mathematics) | Homogeneous spaces | Geometry, algebraic

Book

The Journal of geometric analysis, ISSN 1050-6926, 4/2019, Volume 29, Issue 2, pp. 1571 - 1582

In this work, we establish a Plancherel–Polya inequality for functions in Besov spaces on spaces of homogeneous type as defined in Han and Yang (Diss Math 403:1–102, 2002...

Spaces of homogeneous type | Mathematics | 43A85 | Besov spaces | Plancherel–Polya inequality | Abstract Harmonic Analysis | Fourier Analysis | Sampling theory | Secondary 30H25 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Primary 94A20 | Differential Geometry | Dynamical Systems and Ergodic Theory | Physical Sciences | Science & Technology | Analysis | Equality | Fourier analysis | Harmonic analysis | Wavelet analysis | Function space

Spaces of homogeneous type | Mathematics | 43A85 | Besov spaces | Plancherel–Polya inequality | Abstract Harmonic Analysis | Fourier Analysis | Sampling theory | Secondary 30H25 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Primary 94A20 | Differential Geometry | Dynamical Systems and Ergodic Theory | Physical Sciences | Science & Technology | Analysis | Equality | Fourier analysis | Harmonic analysis | Wavelet analysis | Function space

Journal Article

2013, 2nd edition., ISBN 9789814460071, xvi, 372 pages

Key Features:The 2nd edition brings the text up to date with new developments and results in the fieldContains enumeration of many explicit path integrals...

Tables | Path integrals | Quantum theory | Mathematical physics | Geometry | Quantum Theory | Mathematical Physics | Non-Euclidean | Mathematics | Path Integrals, Selberg Trace Formula, Quantum Chaos, Coordinate Systems, Homogeneous Spaces, Spaces of Non-Constant Curvature, Separation of Variables | SCIENCE | Physics | Mathematical & Computational | Hyperbolic spaces | Selberg trace formula

Tables | Path integrals | Quantum theory | Mathematical physics | Geometry | Quantum Theory | Mathematical Physics | Non-Euclidean | Mathematics | Path Integrals, Selberg Trace Formula, Quantum Chaos, Coordinate Systems, Homogeneous Spaces, Spaces of Non-Constant Curvature, Separation of Variables | SCIENCE | Physics | Mathematical & Computational | Hyperbolic spaces | Selberg trace formula

Book

2011, 6th ed., ISBN 0821852825, xv, 420

Book

05/2018, Pitman research notes in mathematics series, ISBN 9780582087651, Volume 255, 1

.... Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces...

Harmonic maps | Homogeneous spaces

Harmonic maps | Homogeneous spaces

eBook

The Journal of fourier analysis and applications, ISSN 1531-5851, 11/2018, Volume 25, Issue 5, pp. 2197 - 2267

Let
$$(X,d,\mu )$$
(
X
,
d
,
μ
)
be a space of homogeneous type, with the upper dimension
$$\omega $$
ω...

Mathematics | 30L99 | Atom | Abstract Harmonic Analysis | Littlewood–Paley function | Wavelet | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Primary 42B30 | 42B20 | Approximations and Expansions | Space of homogeneous type | Secondary 42B25 | Partial Differential Equations | Maximal function | Hardy space | Physical Sciences | Mathematics, Applied | Science & Technology | Operators (mathematics) | Atomic properties | Smoothness

Mathematics | 30L99 | Atom | Abstract Harmonic Analysis | Littlewood–Paley function | Wavelet | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Primary 42B30 | 42B20 | Approximations and Expansions | Space of homogeneous type | Secondary 42B25 | Partial Differential Equations | Maximal function | Hardy space | Physical Sciences | Mathematics, Applied | Science & Technology | Operators (mathematics) | Atomic properties | Smoothness

Journal Article

Analysis and mathematical physics, ISSN 1664-2368, 12/2019, Volume 9, Issue 4, pp. 1991 - 2019

In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous type...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Operators (mathematics) | Commutators | Integrals

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Operators (mathematics) | Commutators | Integrals

Journal Article

Acta mathematica Hungarica, ISSN 0236-5294, 2/2018, Volume 154, Issue 1, pp. 252 - 263

We solve a long standing question due to Arhangel’skii by constructing a compact space which has a
$${G_\delta}$$
G
δ...

primary 54A25 | {G_\delta}$$ G δ -cover | weak Lindelöf number | 54G20 | Mathematics, general | cardinal function | Mathematics | secondary 54D20 | homogeneous space | Tightness

primary 54A25 | {G_\delta}$$ G δ -cover | weak Lindelöf number | 54G20 | Mathematics, general | cardinal function | Mathematics | secondary 54D20 | homogeneous space | Tightness

Journal Article

Classical and quantum gravity, ISSN 1361-6382, 07/2018, Volume 35, Issue 14, p. 145003

.... In particular, we consider the Abelian group Type 4A1; and thus the emerging homogeneous sub-space is flat...

five dimensional | Einsteins field equations | Bianchi Type I | cosmology | automorphisms | homogeneous submanifolds | vacuum solutions | Quantum Science & Technology | Physical Sciences | Astronomy & Astrophysics | Physics, Particles & Fields | Physics, Multidisciplinary | Physics | Science & Technology | Physics - General Relativity and Quantum Cosmology

five dimensional | Einsteins field equations | Bianchi Type I | cosmology | automorphisms | homogeneous submanifolds | vacuum solutions | Quantum Science & Technology | Physical Sciences | Astronomy & Astrophysics | Physics, Particles & Fields | Physics, Multidisciplinary | Physics | Science & Technology | Physics - General Relativity and Quantum Cosmology

Journal Article

2012, 2012, Springer Monographs in Mathematics, ISBN 1489994769, Volume 173, 249

Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems...

Finsler spaces | Differential Geometry | Mathematics and Statistics | Mathematics | Homogeneous spaces

Finsler spaces | Differential Geometry | Mathematics and Statistics | Mathematics | Homogeneous spaces

eBook

Applied and computational harmonic analysis, ISSN 1063-5203, 07/2018, Volume 45, Issue 1, pp. 120 - 169

... and Hytönen also converges in certain spaces of test functions and distributions. Hence we establish the theory of product Hardy spaces on spaces X˜=X1×X2...

Orthonormal basis | Product Hardy space | Test function space | Spaces of homogeneous type | BMO | Calderón reproducing formula | Carleson measure space | VMO | Duality | Wavelet expansion | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Orthonormal basis | Product Hardy space | Test function space | Spaces of homogeneous type | BMO | Calderón reproducing formula | Carleson measure space | VMO | Duality | Wavelet expansion | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2006, Progress in mathematics, ISBN 9780817643911, Volume 245., xx, 339

This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains...

Semisimple Lie groups | Flag manifolds | Twistor theory | Homogeneous spaces | Automorphic forms | Twister theory

Semisimple Lie groups | Flag manifolds | Twistor theory | Homogeneous spaces | Automorphic forms | Twister theory

Book

2017, Graduate studies in mathematics, ISBN 9781470429522, Volume 178, xvi, 414 pages

Lorentz metrics, indefinite metrics | Classical differential geometry | Vector analysis | Differential geometry | Global analysis, analysis on manifolds | Local differential geometry | Surfaces in Euclidean space | Differential forms | Noncompact transformation groups | Exterior differential systems (Cartan theory) | Projective differential geometry | Frames (Vector analysis) | Homogeneous spaces | Geometry, Differential | Topological groups, Lie groups | Affine differential geometry | Local submanifolds | General theory of differentiable manifolds | Mathematical physics | Exterior differential systems | Differential invariants (local theory), geometric objects | Curves in Euclidean space

Book

Journal of mathematical analysis and applications, ISSN 0022-247X, 03/2020, Volume 483, Issue 1, p. 123582

We study some dynamical properties of composition operators defined on the space P(Xm...

Space of homogeneous polynomials on a Banach space | Mean ergodic | Power bounded | Composition operator | Cesàro bounded | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Space of homogeneous polynomials on a Banach space | Mean ergodic | Power bounded | Composition operator | Cesàro bounded | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Geometriae dedicata, ISSN 1572-9168, 10/2015, Volume 181, Issue 1, pp. 193 - 212

In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.

Einstein metric | 53C30 | Riemannian metric | 53C35 | 53C44 | Ricci flow | Mathematics | Automorphism of a Lie algebra | Compact homogeneous space | Geometry | Killing form | 17A36 | 17B40 | Symmetric space | 14M17 | Generalized Wallach space | Physical Sciences | Science & Technology | Algebra | Mathematics - Differential Geometry

Einstein metric | 53C30 | Riemannian metric | 53C35 | 53C44 | Ricci flow | Mathematics | Automorphism of a Lie algebra | Compact homogeneous space | Geometry | Killing form | 17A36 | 17B40 | Symmetric space | 14M17 | Generalized Wallach space | Physical Sciences | Science & Technology | Algebra | Mathematics - Differential Geometry

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 8/2013, Volume 274, Issue 3, pp. 1299 - 1325

Several large classes of homogeneous spaces are known to be formal—in the sense of rational homotopy theory...

57T20 | Non-formal manifold | Mathematics, general | Mathematics | Homogeneous space | Primary 57N65 | Secondary 57T15 | Physical Sciences | Science & Technology

57T20 | Non-formal manifold | Mathematics, general | Mathematics | Homogeneous space | Primary 57N65 | Secondary 57T15 | Physical Sciences | Science & Technology

Journal Article

Studia mathematica, ISSN 0039-3223, 2018, Volume 242, Issue 2, pp. 109 - 139

Given a space of homogeneous type (X, d, mu), we present sufficient conditions on a variable exponent p...

Fractional integral operator | Spaces of homogeneous type | Variable Lebesgue spaces | Maximal operator | Physical Sciences | Mathematics | Science & Technology

Fractional integral operator | Spaces of homogeneous type | Variable Lebesgue spaces | Maximal operator | Physical Sciences | Mathematics | Science & Technology

Journal Article

Applied and computational harmonic analysis, ISSN 1063-5203, 01/2018, Volume 44, Issue 1, pp. 1 - 37

Let (X,d,μ) be a metric measure space of homogeneous type in the sense of R.R. Coifman and G. Weiss and Hat1(X) be the atomic Hardy space...

Molecule | Metric measure space of homogeneous type | Regular wavelet | Spline function | Unconditional basis | Atom | Hardy space

Molecule | Metric measure space of homogeneous type | Regular wavelet | Spline function | Unconditional basis | Atom | Hardy space

Journal Article