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2016, 2nd ed. 2016, ISBN 1493934066, 501

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations...

Abstract Harmonic Analysis | Geometry | Statistical Theory and Methods | Mathematics | Number Theory | Applications of Mathematics | Combinatorics | Mathematics and Statistics | Symmetric spaces | Harmonic analysis

Abstract Harmonic Analysis | Geometry | Statistical Theory and Methods | Mathematics | Number Theory | Applications of Mathematics | Combinatorics | Mathematics and Statistics | Symmetric spaces | Harmonic analysis

eBook

2011, ISBN 0521889723, Volume 9780521889728, xiii, 394

"Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of...

Hermitian symmetric spaces | Resonance | Mathematics | Hermitian structures | Quantum theory

Hermitian symmetric spaces | Resonance | Mathematics | Hermitian structures | Quantum theory

Book

2016, Developments in Mathematics, ISBN 9783319427560, Volume 45, 262

Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook...

Several Complex Variables and Analytic Spaces | Mathematics | Functional Analysis | Mathematics and Statistics | Measure and Integration | Manifolds and Cell Complexes (incl. Diff.Topology) | Symmetric spaces

Several Complex Variables and Analytic Spaces | Mathematics | Functional Analysis | Mathematics and Statistics | Measure and Integration | Manifolds and Cell Complexes (incl. Diff.Topology) | Symmetric spaces

eBook

2013, 2nd ed. 2013, ISBN 1461479711, Volume 9781461479727, 430

New edition extensively revised and updated Features many new examples and figures (such as density plots of modular forms as well as finite analogues) New...

Functions of complex variables | Group theory | Fourier analysis | Harmonic analysis | Mathematics | Topological Groups | Functions, special | Abstract Harmonic Analysis | Fourier Analysis | Topological Groups, Lie Groups | Functions of a Complex Variable | Special Functions | Group Theory and Generalizations | Mathematics and Statistics | Symmetric spaces

Functions of complex variables | Group theory | Fourier analysis | Harmonic analysis | Mathematics | Topological Groups | Functions, special | Abstract Harmonic Analysis | Fourier Analysis | Topological Groups, Lie Groups | Functions of a Complex Variable | Special Functions | Group Theory and Generalizations | Mathematics and Statistics | Symmetric spaces

eBook

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

Book

2005, 1st ed., Mathematics : theory & applications, ISBN 0817632476, xiii, 479

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis...

Symmetric spaces | Compactifications

Symmetric spaces | Compactifications

Book

2005, Progress in mathematics, ISBN 081763777X, Volume 230., viii, 175

Suitable for both graduate students and researchers in semi simple Lie theory and neighboring fields, this work provides an examination of semisimple Lie...

Symmetric spaces | Harmonic analysis | Linear topological spaces | Lie groups

Symmetric spaces | Harmonic analysis | Linear topological spaces | Lie groups

Book

Integral equations and operator theory, ISSN 1420-8989, 12/2014, Volume 81, Issue 2, pp. 191 - 212

...{A}}$$
A
be subdiagonal subalgebra of
$${\mathcal{M}}$$
M
, and E be a symmetric quasi Banach space on [0, 1...

Secondary 46B20 | Analysis | noncommutative symmetric spaces | Subdiagonal subalgebras | Mathematics | noncommutative Hardy spaces | Primary 46L52 | 46L53 | Physical Sciences | Science & Technology | Algebra

Secondary 46B20 | Analysis | noncommutative symmetric spaces | Subdiagonal subalgebras | Mathematics | noncommutative Hardy spaces | Primary 46L52 | 46L53 | Physical Sciences | Science & Technology | Algebra

Journal Article

Journal of the Royal Statistical Society. Series B, Statistical methodology, ISSN 1369-7412, 03/2017, Volume 79, Issue 2, pp. 463 - 482

...‐valued response in a Riemannian symmetric space (RSS) and its association with multiple covariates of interest, such as age or gender, in Euclidean space. Such RSS...

Group action | Generalized method of moment | Geodesic | Regression | Link function | Lie group | Riemannian symmetric space | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Machine vision | Models | Information management | Studies | Data analysis | Statistical methods | Euclidean space | Medical imaging | Statistics | Euclidean geometry | Parameters | Mathematical analysis | Mathematical models | Statistical tests | Estimates | Symmetry | RS space

Group action | Generalized method of moment | Geodesic | Regression | Link function | Lie group | Riemannian symmetric space | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Machine vision | Models | Information management | Studies | Data analysis | Statistical methods | Euclidean space | Medical imaging | Statistics | Euclidean geometry | Parameters | Mathematical analysis | Mathematical models | Statistical tests | Estimates | Symmetry | RS space

Journal Article

Journal of functional analysis, ISSN 0022-1236, 06/2019, Volume 276, Issue 11, pp. 3275 - 3303

.... In this paper, we consider the setting of simple pseudo-Hermitian symmetric spaces, i.e., let X=G/H be a symmetric space for a real simple Lie group G, equipped with a G-invariant complex structure...

Invariant differential operator | Pseudo-Hermitian symmetric space | Higher Laplacian | Physical Sciences | Mathematics | Science & Technology | Analysis | Algebra

Invariant differential operator | Pseudo-Hermitian symmetric space | Higher Laplacian | Physical Sciences | Mathematics | Science & Technology | Analysis | Algebra

Journal Article

2008, 2nd ed., Mathematical surveys and monographs, ISBN 9780821845301, Volume 39, xvii, 637

Book

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

Journal of mathematical analysis and applications, ISSN 0022-247X, 09/2019, Volume 477, Issue 2, pp. 1157 - 1181

...g in the hyperbolic space Hn with n≥5. These inequalities could be seen as the improved second order Poincaré...

Hyperbolic spaces | Decreasing spherical symmetric rearrangement | Sobolev inequality | Adams inequality with exact growth | Poincaré–Sobolev inequality | Adams inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Hyperbolic spaces | Decreasing spherical symmetric rearrangement | Sobolev inequality | Adams inequality with exact growth | Poincaré–Sobolev inequality | Adams inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 12, pp. 3015 - 3036

Let $G$ be a semisimple algebraic Lie group and $H$ a reductive subgroup. We find geometrically the best even integer $p$ for which the representation of $G$...

Topological groups, Lie groups | Abstract harmonic analysis | Symmetric spaces | Homogeneous spaces | Matrix coefficients | Tempered representations | Lie groups | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Topological groups, Lie groups | Abstract harmonic analysis | Symmetric spaces | Homogeneous spaces | Matrix coefficients | Tempered representations | Lie groups | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

1997, Perspectives in mathematics, ISBN 9780125254304, Volume 18, 303

This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces...

Symmetric spaces | Harmonic analysis

Symmetric spaces | Harmonic analysis

eBook

Journal of geometry and physics, ISSN 0393-0440, 04/2019, Volume 138, pp. 257 - 284

This paper is devoted to a systematic study and classification of invariant affine or metric connections on certain classes of naturally reductive spaces...

Connection | Isotropy | Homogeneous space | Symmetric space | Irreducible

Connection | Isotropy | Homogeneous space | Symmetric space | Irreducible

Journal Article

Advances in computational mathematics, ISSN 1019-7168, 2/2016, Volume 42, Issue 1, pp. 55 - 84

...Adv Comput Math (2016) 42:55–84
DOI 10.1007/s10444-015-9411-6
Rank-1 lattice rules for multivariate integration
in spaces of permutation-invariant functions...

Visualization | 68Q25 | Computational Mathematics and Numerical Analysis | 68W40 | Numerical integration | Mathematical and Computational Biology | Mathematics | 65Y20 | Computational Science and Engineering | Quasi-Monte Carlo methods | Quadrature | Cubature | 65D32 | Mathematical Modeling and Industrial Mathematics | Rank-1 lattice rules | Physical Sciences | Mathematics, Applied | Science & Technology | Monte Carlo method | Lattice theory | Multivariate analysis | Analysis | Integration | Mathematics - Numerical Analysis

Visualization | 68Q25 | Computational Mathematics and Numerical Analysis | 68W40 | Numerical integration | Mathematical and Computational Biology | Mathematics | 65Y20 | Computational Science and Engineering | Quasi-Monte Carlo methods | Quadrature | Cubature | 65D32 | Mathematical Modeling and Industrial Mathematics | Rank-1 lattice rules | Physical Sciences | Mathematics, Applied | Science & Technology | Monte Carlo method | Lattice theory | Multivariate analysis | Analysis | Integration | Mathematics - Numerical Analysis

Journal Article

Aequationes mathematicae, ISSN 1420-8903, 11/2018, Volume 93, Issue 1, pp. 311 - 343

The paper deals with F-normed functions and sequence spaces. First, some general results on such spaces are presented...

Strict monotonicity | Symmetric F-normed spaces | 46B20 | 46B42 | Mathematics | Orthogonal strict monotonicity | Mazur–Orlicz F-norm | F-normed Köthe spaces | Condition $$\Delta _2$$ Δ 2 | Upper local uniform monotonicity | 46E30 | Köthe normed spaces | Orthogonal lower local uniform monotonicity | Uniform monotonicity | Combinatorics | Kadec–Klee properties $$H_{l}, H_{g}, H_{u}$$ H l , H g , H u and $$H_{c}$$ H c | Strong condition $$\Delta _2$$ Δ 2 | Symmetric spaces | Lower local uniform monotonicity | Orthogonal uniform monotonicity | Order continuity | Analysis | Orthogonal upper local uniform monotonicity | Fatou properties | Orlicz spaces | Condition Δ | H | Kadec–Klee properties H | and H | Strong condition Δ | Physical Sciences | Mathematics, Applied | Science & Technology | Properties (attributes) | Function space | Subspaces | Convergence

Strict monotonicity | Symmetric F-normed spaces | 46B20 | 46B42 | Mathematics | Orthogonal strict monotonicity | Mazur–Orlicz F-norm | F-normed Köthe spaces | Condition $$\Delta _2$$ Δ 2 | Upper local uniform monotonicity | 46E30 | Köthe normed spaces | Orthogonal lower local uniform monotonicity | Uniform monotonicity | Combinatorics | Kadec–Klee properties $$H_{l}, H_{g}, H_{u}$$ H l , H g , H u and $$H_{c}$$ H c | Strong condition $$\Delta _2$$ Δ 2 | Symmetric spaces | Lower local uniform monotonicity | Orthogonal uniform monotonicity | Order continuity | Analysis | Orthogonal upper local uniform monotonicity | Fatou properties | Orlicz spaces | Condition Δ | H | Kadec–Klee properties H | and H | Strong condition Δ | Physical Sciences | Mathematics, Applied | Science & Technology | Properties (attributes) | Function space | Subspaces | Convergence

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2016, Volume 368, Issue 2, pp. 1211 - 1249

The main tool developed in this work is a method to study singular Riemannian foliations with closed leaves on complex projective spaces...

Inner symmetric space | Extended Vogan diagram | FKM-foliation | Isoparametric foliation | Polar action | Inhomogeneous isoparametric foliation | Complex projective space | Physical Sciences | Mathematics | Science & Technology

Inner symmetric space | Extended Vogan diagram | FKM-foliation | Isoparametric foliation | Polar action | Inhomogeneous isoparametric foliation | Complex projective space | Physical Sciences | Mathematics | Science & Technology

Journal Article