Joseph A. Wolf
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American mathematician
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Mathematics
Joseph A. Wolf's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Joseph A. Wolf Influential?
(Suggest an Edit or Addition)According to Wikipedia, Joseph Albert Wolf was an American mathematician at the University of California, Berkeley. Life and career Wolf graduated from at the University of Chicago with a bachelor's degree in 1956 and with his master's degree in 1957 and his Ph.D. under the supervision of Shiing-Shen Chern in 1959 . From 1960 to 1962, as a post-doctoral researcher, he was at the Institute for Advanced Study in Princeton, New Jersey . In 1962 he was assistant professor and since 1966 he has been professor at Berkeley.
Joseph A. Wolf's Published Works
Published Works
- Spaces of Constant Curvature (2010) (1111)
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds (1968) (408)
- Homogeneous spaces defined by Lie group automorphisms. II (1968) (267)
- The geometry and structure of isotropy irreducible homogeneous spaces (1968) (233)
- Realization of Hermitian Symmetric Spaces as Generalized Half-planes (1965) (227)
- Harmonic analysis on commutative spaces (2007) (187)
- SQUARE INTEGRABLE REPRESENTATIONS OF NILPOTENT GROUPS (1973) (156)
- Homogeneity and bounded isometries in manifolds of negative curvature (1964) (130)
- Localization and standard modules for real semisimple Lie groups I: The duality theorem (1987) (100)
- Generalized Cayley Transformations of Bounded Symmetric Domains (1965) (92)
- Global differential geometry : the mathematical legacy of Alfred Gray : International Congress on Differential Geometry, September 18-23, 2000, Bilbao, Spain (2001) (91)
- Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint (2002) (85)
- Elliptic spaces in Grassmann manifolds (1963) (78)
- Hermitian Lie algebras and metaplectic representations. I (1978) (77)
- The action of a real semisimple Lie group on a complex flag manifold, II: Unitary representations on partially holomorphic cohomology spaces (1974) (72)
- Singular unitary representations and indefinite harmonic theory (1983) (72)
- Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one (1976) (66)
- Curvature in nilpotent Lie groups (1964) (64)
- Locally symmetric homogeneous spaces (1962) (62)
- Differentiable fibre spaces and mappings compatible with Riemannian metrics. (1964) (59)
- Poincare Series and Automorphic Cohomology on Flag Domains (1977) (56)
- On the geometry and classification of absolute parallelisms. II (1972) (55)
- The structure of compact Ricci-flat Riemannian manifolds (1975) (53)
- A survey of the spherical space form problem (1985) (51)
- A Bott-Borel-Weil theory for direct limits of algebraic groups (2002) (50)
- Isotropic manifolds of indefinite metric (1964) (46)
- The Stein condition for cycle spaces of open orbits on complex flag manifolds (1992) (44)
- Discrete Groups, Symmetric Spaces, and Global Holonomy (1962) (44)
- Differentiable structure for direct limit groups (1991) (43)
- CANONICAL SEMI-INVARIANTS AND THE PLANCHEREL FORMULA FOR PARABOLIC GROUPS (1982) (42)
- The Bott–Borel–Weil Theorem for direct limit groups (2001) (40)
- Geometric quantization and derived functor modules for semisimple Lie groups (1990) (39)
- On locally symmetric spaces of non-negative curvature and certain other locally homogeneous spaces (1962) (39)
- The Plancherel theorem for general semisimple groups (1986) (37)
- Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups (1976) (37)
- Geodesic spheres in Grassmann manifolds (1963) (37)
- New Developments in Lie Theory and Geometry (2009) (36)
- Representations of Certain Semidirect Product Groups (1975) (36)
- Finiteness of orbit structure for real flag manifolds (1974) (33)
- Homogeneous holomorphic vector bundles (1970) (32)
- A vanishing theorem for open orbits on complex flag manifolds (1984) (31)
- Linear cycle spaces in flag domains (2000) (30)
- The Clifford-Klein Space Forms of Indefinite Metric (1962) (29)
- Classification and Fourier inversion for parabolic subgroups with square integrable nilradical (1979) (28)
- Erratum to: The geometry and structure of isotropy irreducible homogeneous spaces (1984) (28)
- Homogeneous manifolds of constant curvature (1962) (26)
- Partially harmonic spinors and representations of reductive Lie groups (1974) (23)
- Schubert Varieties and Cycle Spaces (2002) (22)
- Pseudo-Riemannian weakly symmetric manifolds (2011) (22)
- Exhaustion Functions and Cohomology Vanishing Theorems for Open Orbits on Complex Flag Manifolds (1995) (22)
- Principal series representations of direct limit groups (2004) (21)
- KILLING VECTOR FIELDS OF CONSTANT LENGTH ON RIEMANNIAN NORMAL HOMOGENEOUS SPACES (2014) (20)
- Complete maps and differentiable coverings. (1963) (20)
- Real groups transitive on complex flag manifolds (2001) (19)
- Vincent’s conjecture onClifford translations of the sphere (1962) (19)
- Cayley transforms and orbit structure in complex flag manifolds (1997) (17)
- The Plancherel formula for parabolic subgroups of the classical groups (1978) (16)
- Completeness of Poincaré Series for Automorphic Forms Associated to the Integrable Discrete Series (1983) (15)
- Bounded isometries and homogeneous Riemannian quotient manifolds (1986) (15)
- Heat Equation, Proportionality Principle, and Volume of Fundamental Domains (1976) (15)
- Infinite Dimensional Multiplicity Free Spaces II: Limits of Commutative Nilmanifolds (2008) (14)
- Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces (2008) (14)
- HOMOGENEOUS MANIFOLDS OF ZERO CURVATURE (1962) (14)
- Translation-invariant function algebras on compact groups. (1965) (14)
- Sp(2)/U(1) and a positive curvature problem (2015) (14)
- Wave Packets for the Relative Discrete Series II. The Nonholomorphic Case (1987) (14)
- SELF ADJOINT FUNCTION SPACES ON RIEMANNIAN SYMMETRIC MANIFOLDS (1964) (14)
- Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials (2010) (14)
- A Note on the Linear Cycle Space for Groups of Hermitian Type (2003) (13)
- Isospectrality for Spherical Space Forms (2001) (13)
- Cycle Spaces of Real Forms of SLn(ℂ) (2002) (13)
- Surfaces of constant mean curvature (1966) (13)
- Stepwise square integrable representations of nilpotent Lie groups (2013) (12)
- Infinite dimensional multiplicity free spaces III: matrix coefficients and regular functions (2009) (12)
- The Paley–Wiener Theorem and Limits of Symmetric Spaces (2011) (12)
- Representations associated to minimal co-adjoint orrits (1978) (12)
- Toward a classification of killing vector fields of constant length on pseudo-Riemannian normal homogeneous spaces (2015) (11)
- Spherical functions on Euclidean space (2005) (11)
- Globalizations of Harish-Chandra modules (1987) (11)
- Representations of semisimple groups associated to nilpotent orbits (1974) (10)
- Flag Manifolds and Representation Theory (1998) (10)
- Completeness of Poincare series for automorphic cohomology (1979) (10)
- Locally symmetric homogeneous Finsler spaces (2012) (10)
- HOLOMORPHIC DOUBLE FIBRATION TRANSFORMS (1999) (10)
- Harmonic Analysis and Representations of Semisimple Lie Groups (1980) (10)
- The Penrose transform and analytic cohomology in representation theory : AMS-IMS-SIAM Summer Research Conference, June 27 to July 3, 1992, Mount Holyoke College, South Hadley, Massachusetts (1993) (10)
- Geometry of the Borel -- de Siebenthal Discrete Series (2009) (10)
- The Calabi construction for compact Ricci flat Riemannian manifolds (1974) (9)
- THE MANIFOLDS COVERED BY A RIEMANNIAN HOMOGENEOUS MANIFOLD. (1960) (9)
- HERMITIAN SYMMETRIC SPACES, CYCLE SPACES, AND THE BARLET-KOZIARZ INTERSECTION METHOD FOR CONSTRUCTION OF HOLOMORPHIC FUNCTIONS (2000) (9)
- Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds (2018) (9)
- Direct Systems of Spherical Functions and Representations (2011) (9)
- The Plancherel Formula for parabolic subgroups (1977) (9)
- Developments and Retrospectives in Lie Theory (2014) (9)
- Local and global equivalence for flat affine manifolds with parallel geometric structures (1973) (9)
- THE AUTOMORPHISM GROUP OF A HOMOGENEOUS ALMOST COMPLEX MANIFOLD ( (1969) (8)
- Continuation of unitary derived functor modules out of the canonical chamber (1984) (8)
- Riemannian exponential maps and decompositions of reductive Lie groups (1996) (8)
- SYMMETRIC SPACES WHICH ARE REAL COHOMOLOGY SPHERES (1969) (8)
- Representations that remain irreducible on parabolic subgroups (1980) (8)
- Space Forms of Grassmann Manifolds (1963) (8)
- The Plancherel Formula for Minimal Parabolic Subgroups (2013) (7)
- Injectivity of the Double Fibration Transform for Cycle Spaces of Flag Domains (2003) (7)
- Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations (2012) (7)
- A contact structure for the odd dimensional spherical space forms (1968) (7)
- The affine group of a Lie group (1963) (7)
- Zeta functions and their asymptotic expansions for compact locally symmetric spaces of negative curvature (1975) (7)
- Bounded Isometries and Homogeneous Quotients (2015) (7)
- WEYL GROUP INVARIANTS AND APPLICATION TO SPHERICAL HARMONIC ANALYSIS ON SYMMETRIC SPACES (2009) (7)
- Exotic metrics on immersed surfaces (1966) (7)
- A COMPATIBILITY CONDITION BETWEEN INVARIANT RIEMANNIAN METRICS AND LEVI-WHITEHEAD DECOMPOSITIONS ON A COSET SPACE (1969) (6)
- Plancherel Formulae associated to Filtrations of Nilpotent Lie Groups (2012) (6)
- THE UNCERTAINTY PRINCIPLE FOR GELFAND PAIRS (2013) (6)
- RAPIDLY DECREASING FUNCTIONS ON GENERAL SEMISIMPLE GROUPS (2006) (6)
- Parabolic Subgroups of Real Direct Limit Lie Groups (2008) (5)
- Geometry and Representation Theory of Real and p-adic groups (2011) (5)
- Weakly symmetric pseudo–Riemannian nilmanifolds (2018) (5)
- Complex Forms of Quaternionic Symmetric Spaces (2003) (5)
- Semisimple weakly symmetric pseudo-Riemannian manifolds (2017) (5)
- Cycle spaces of infinite dimensional flag domains (2015) (4)
- Acuity of Observation for Invariant Evolution Equations (1991) (4)
- Totally real representations and real function spaces (1971) (4)
- Cycle Space Constructions for Exhaustions of Flag Domains (2008) (4)
- Conformal group, quantization, and the Kepler problem (1976) (4)
- A3 & his algebra: how a boy from chicago’s west side became a force in american mathematics (2007) (4)
- Orbit method and nondegenerate series (1974) (4)
- Homogeneity for a Class of Riemannian Quotient Manifolds (2016) (4)
- Separating Vector Bundle Sections by Invariant Means (2012) (4)
- REMARK ON NILPOTENT ORBITS (1975) (4)
- A G ] 2 2 A pr 2 01 7 Real group orbits on flag ind-varieties of SL ( ∞ , C ) (2016) (4)
- Observability and Group Representation Theory (1989) (3)
- Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups (2012) (3)
- Flat homogeneous pseudo-Riemannian manifolds (1995) (3)
- On Calabi’s inhomogeneous Einstein-Kaehler manifolds (1977) (3)
- On the Geodesic Orbit Property for Lorentz Manifolds (2020) (3)
- STEPWISE SQUARE INTEGRABLE REPRESENTATIONS FOR LOCALLY NILPOTENT LIE GROUPS (2014) (3)
- On the Analytic Structure of Commutative Nilmanifolds (2014) (3)
- Real group orbits on flag ind-varieties of $\mathrm{SL}(\infty,\mathbb{C})$ (2015) (2)
- Representations on Partially Holomorphic Cohomology Spaces, Revisited (2017) (2)
- The Schwartz space of a general semisimple Lie group. I. Wave packets of Eisenstein integrals (1990) (2)
- Compact Subvarieties in Flag Domains (1994) (2)
- Explicit quantization of the Kepler manifold (1979) (2)
- Infinite Dimensional Multiplicity Free Spaces III (2009) (2)
- Stepwise Square Integrable Representations: the Concept and Some Consequences (2015) (2)
- Classes of unitarizable derived functor modules. (1983) (2)
- Addendum to"Bounded Isometries and Homogeneous Quotients", JGA 27 (2017), 56--64 (2021) (1)
- STEPWISE SQUARE INTEGRABLE REPRESENTATIONS FOR LOCALLY NILPOTENT LIE GROUPS (2015) (1)
- On isoclinic closure: correction to “Elliptic spaces in Grassmann manifolds” (1975) (1)
- A commutativity criterion for closed subgroups of compact Lie groups. (1971) (1)
- New constructions for representations of semisimple lie groups (1988) (1)
- Ind-Varieties of Generalized Flags as Homogeneous Spaces for Classical Ind-Groups (2004) (1)
- Remark on Siegel domains of type ${\rm III}$ (1971) (1)
- Negative curvature and combinatorial group theory (1973) (1)
- Geometric Quantization in the Spirit of Gupta and Bleuler (1984) (1)
- Local and Global Homogeneity for Manifolds that admit a Positive Curvature Metric. (2019) (1)
- Integration and convolution (2007) (1)
- Stepwise square integrable representations of nilpotent Lie groups (2013) (1)
- Classical analysis and nilpotent Lie groups (2010) (1)
- Stepwise Square Integrability for Nilradicals of Parabolic Subgroups and Maximal Amenable Subgroups (2016) (1)
- Remark on discrete subgroups (1971) (1)
- Branching of Representations to Symmetric Subgroups (2008) (1)
- Locally symmetric spaces of non-negative curvature (2010) (1)
- Flag Duality (2000) (1)
- A duality for the double fibration transform (2012) (1)
- Isoclinic Spheres and Flat Homogeneous Pseudo-Riemannian Manifolds (2013) (1)
- Book Review: An introduction to harmonic analysis on semisimple Lie groups (1993) (0)
- 2 0 Se p 20 05 Spherical Functions on Euclidean Space (2005) (0)
- Harmonic Analysis and Representations of Semisimple Lie Groups : Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Liège, Belgium, September 5-17, 1977 (1980) (0)
- Observability on Noncompact Symmetric Spaces (1998) (0)
- Cycle spaces of infinite dimensional flag domains (2016) (0)
- Finite-Dimensional Representation Theory (1980) (0)
- Basic representation theory (2007) (0)
- Spherical transforms and Plancherel formulae (2007) (0)
- Compact Lie groups and homogeneous spaces (2007) (0)
- Pseudo-Riemannian weakly symmetric manifolds (2011) (0)
- Basic theory of commutative spaces (2007) (0)
- Structure of commutative Nilmanifolds (2007) (0)
- On the Homogeneity Conjecture (2023) (0)
- Observability and Harish-Chandra Modules (1990) (0)
- Locally isotropic manifolds (2010) (0)
- Affine differential geometry (2010) (0)
- Bounded Isometries and Homogeneous Quotients (2016) (0)
- The solution to the spherical space form problem (2010) (0)
- HOMOGENEITY AND BOUNDED ISOMETRIES IN NEGATIVE CURVATURE MANIFOLDS OF (0)
- Annals of Mathematics Completeness of Poincare Series for Automorphic Cohomology (2010) (0)
- On the Analytic Structure of Commutative Nilmanifolds (2015) (0)
- On Weakly Symmetric Pseudo-Riemannian Manifolds (2020) (0)
- Families of Geodesic Orbit Spaces and Related Pseudo-Riemannian Manifolds (2022) (0)
- Unitary representations, $L^2$ Dolbeault cohomology, and weakly symmetric pseudo-riemannian nilmanifolds (2018) (0)
- Appendix to Chapter 12 (2010) (0)
- Partial Dirac Cohomology and Tempered Representations (2020) (0)
- Flat Riemannian manifolds (2010) (0)
- Basic topological group theory (2007) (0)
- Solvability, Structure, and Analysis for Minimal Parabolic Subgroups (2017) (0)
- Space forms of irreducible symmetric spaces (2010) (0)
- Infinite-Dimensional Representations (1980) (0)
- Special case: Commutative groups (2007) (0)
- Solvability, Structure, and Analysis for Minimal Parabolic Subgroups (2016) (0)
- Fe b 20 04 Principal Series Representations of Direct Limit Groups (2008) (0)
- Some recollections of a visit to São Paulo in 1966 (2018) (0)
- Representations of finite groups (2010) (0)
- On the lattice space forms (1962) (0)
- Geodesic Orbit Metrics on Compact Simple Lie Groups arising from Generalized Flag Manifolds (2018) (0)
- Annals of Mathematics Realization of Hermitian Symmetric Spaces as Generalized Half-planes Author ( s ) : (2010) (0)
- 2 A pr 2 00 2 Schubert Varieties and Cycle Spaces (2008) (0)
- Title Toward a classification of killing vector fields of constant length on pseudo-Riemannian normal homogeneous spaces Permalink (2016) (0)
- Correction to: Bounded Isometries and Homogeneous Quotients (2021) (0)
- Plancherel theorem for the universal cover of the conformal group (1986) (0)
- The Paley–Wiener Theorem and Limits of Symmetric Spaces (2013) (0)
- Recollections of Shoshichi Kobayashi (2013) (0)
- The Structure of Geodesic Orbit Lorentz Nilmanifolds (2022) (0)
- Errata: “Homogeneous manifolds of zero curvature” (1963) (0)
- Wave Packets of Eisenstein Integrals (2003) (0)
- Discrete co-compact subgroups (2007) (0)
- 2 8 A ug 2 00 3 Complex forms of Quaternionic Symmetric Spaces (2003) (0)
- Analysis on commutative Nilmanifolds (2007) (0)
- A G ] 2 O ct 2 00 2 Schubert Varieties and Cycle Spaces (2008) (0)
- A COMMUTATIVTTY CRITERION FOR CLOSED SUBGROUPS OF COMPACT LIE GROUPS (2010) (0)
- Representations of compact groups (2007) (0)
- Classification of commutative spaces (2007) (0)
- Lie groups : structure, actions, and representations : in honor of Joseph A. Wolf on the occasion of his 75th birthday (2013) (0)
- 1. If G is a Lie group, then the group Aut(G) of all continuous auto- morphismns of G has a natural Lie group structure. This gives the semi- direct product A(G) =G Aut(G) the structure of a Lie group. When (2016) (0)
- HOMOGENEITY AND BOUNDED ISOMETRIES IN NEGATIVE CURVATURE (1962) (0)
- Some recollections of a visit to São Paulo in 1966 (2018) (0)
- Complex Geometry and Representations of Lie Groups (2013) (0)
- Riemannian symmetric spaces (2007) (0)
- Local and Global Homogeneity for Manifolds of Positive Curvature (2019) (0)
- Parabolic Subgroups of Real Direct Limit Groups (2009) (0)
- The classification of fixed point free groups (2010) (0)
- 2 O ct 2 00 3 Complex forms of Quaternionic Symmetric Spaces (2003) (0)
- Remark on the Complexied Iwasawa Decomposition (2002) (0)
- Local and global homogeneity for three obstinate spheres (2020) (0)
- Semisimple weakly symmetric pseudo-Riemannian manifolds (2018) (0)
- Geometric constructions and representations (1991) (0)
- Structure of Semisimple Lie Groups (1980) (0)
- Weakly symmetric and reductive commutative spaces (2007) (0)
- KILLING VECTOR FIELDS OF CONSTANT LENGTH ON RIEMANNIAN NORMAL HOMOGENEOUS SPACES (2016) (0)
- Flag Duality Dedicated to the memory of Alfred Gray (2000) (0)
- DISCRETE GROUPS, SYMMETRIC SPACES, AND Gl,OBAL (2016) (0)
- Geometric and analytic methods (2014) (0)
- Vincent’s work on the spherical space form problem (2010) (0)
- Finite and Infinite Dimensional Complex Geometry and Representation Theory (2004) (0)
- Point Placement for Observation of the Heat Equation on the Sphere (1993) (0)
- Complex manifolds and unitary representations (1971) (0)
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