Sigur Dbarur Helgason
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Sigur Dbarur Helgasonmathematics Degrees
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Differential Geometry
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Mathematics
Why Is Sigur Dbarur Helgason Influential?
(Suggest an Edit or Addition)Sigur Dbarur Helgason's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Differential Geometry, Lie Groups, and Symmetric Spaces (1978) (6131)
- Differential Geometry and Symmetric Spaces (1964) (3014)
- Groups and geometric analysis (1984) (2214)
- Geometric Analysis on Symmetric Spaces (1994) (689)
- The Radon Transform (1980) (643)
- A duality for symmetric spaces with applications to group representations (1970) (376)
- LIE GROUPS AND SYMMETRIC SPACES. (1968) (373)
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds (1965) (290)
- Integral Geometry and Radon Transforms (2010) (265)
- Differential operators on homogeneous spaces (1959) (184)
- Topics in Harmonic Analysis on Homogeneous Spaces (1981) (141)
- The surjectivity of invariant di erential operators on symmetric spaces (1973) (110)
- Eigenspaces of the Laplacian; integral representations and irreducibility (1974) (109)
- An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces (1966) (107)
- Fundamental solutions of invariant differential operators on symmetric spaces (1963) (94)
- A duality for symmetric spaces with applications to group representations, II. Differential equations and eigenspace representations (1976) (76)
- Elementary differential geometry (2001) (62)
- The bounded spherical functions on symmetric spaces (1969) (56)
- Analysis on Lie Groups and Homogeneous Spaces (1972) (53)
- Some results on invariant differential operators on symmetric spaces (1992) (50)
- Duality and Radon transform for symmetric spaces (1963) (50)
- A duality in integral geometry; some generalizations of the Radon transform (1964) (44)
- Wave equations on homogeneous spaces (1984) (44)
- Representation Theory of Lie Groups (1980) (41)
- Totally geodesic spheres in compact symmetric spaces (1966) (37)
- Multipliers of Banach Algebras (1956) (35)
- The Abel, Fourier and radon transforms on symmetric spaces (2005) (32)
- Invariant differential equations on homogeneous manifolds (1977) (32)
- Global Differential Geometry and Global Analysis 1984 (1986) (30)
- A duality for symmetric spaces (2008) (29)
- Radon-Fourier transforms on symmetric spaces and related group representations (1965) (28)
- The Radon Transform on ℝn (1999) (28)
- Huygens' principle for wave equations on symmetric spaces (1992) (27)
- Support of Radon Transforms (1980) (24)
- Invariant differential operators (2000) (23)
- Spherical functions on symmetric spaces (1972) (22)
- Lacunary Fourier series on noncommutative groups (1958) (21)
- Integral geometry, Radon transforms and complex analysis (1998) (20)
- Invariants and fundamental functions (1963) (19)
- Invariant differential operators on Grassmann manifolds (1986) (19)
- A Fatou-type theorem for harmonic functions on symmetric spaces (1968) (18)
- Topologies of group algebras and a theorem of Littlewood (1957) (16)
- Functions on symmetric spaces (2001) (16)
- Integral geometry and multitemporal wave equations (1998) (14)
- On Riemannian curvature of homogeneous spaces (1958) (14)
- A formula for the radial part of the Laplace-Beltrami operator (1972) (13)
- The Radon Transform on R n (2011) (13)
- Some results on invariant theory (1962) (12)
- Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups (1973) (12)
- Non-Euclidean Analysis (2004) (11)
- Some problems in the theory of almost periodic functions (1955) (11)
- Some Remarks on the Exponential Mapping for an Affine Connection. (1961) (10)
- Invariant differential operators and eigenspace representations (1980) (9)
- Symmetric spaces of the noncompact type (2001) (8)
- Applications of the radon transform to representations of semisimple lie groups. (1969) (8)
- SOLVABILITY QUESTIONS FOR INVARIANT DIFFERENTIAL OPERATORS (1977) (8)
- Harish-Chandra’s c-Function. A Mathematical Jewel (1994) (7)
- Spherical Functions on Riemannian Symmetric Spaces (2017) (7)
- The Harish-Chandra character (1980) (7)
- Radon transforms and wave equations (1998) (6)
- The Paley-Wiener space for the multitemporal wave equation (1999) (5)
- The Flat Horocycle Transform for a Symmetric Space (1992) (5)
- SOME PERSONAL REMARKS ON THE RADON TRANSFORM (2013) (5)
- The Inversion of the X-ray Transform on a Compact Symmetric Space (2006) (5)
- Some results on eigenfunctions on symmetric spaces and eigenspace representations. (1977) (5)
- Invariant Differential Operators and Weyl Group Invariants (1991) (4)
- The Bounded Spherical Functions on the Cartan motion group (2015) (4)
- The X-ray transform on a symmetric space (2011) (4)
- A Duality in Integral Geometry (2011) (4)
- Support Theorems for Horocycles on Hyperbolic Spaces (2010) (3)
- Hermitian symmetric spaces (2001) (3)
- Harmonic analysis in the non-Euclidean disk (1972) (3)
- The Fourier transform on symmetric spaces (2019) (3)
- The Fourier transform on symmetric spaces (2019) (3)
- The Range of the Radon Transform on a Symmetric Space (1983) (3)
- Remarks on B. Rubin, “Radon, cosine and sine transforms on real hyperbolic space” (2005) (3)
- The Fourier transform on a symmetric space (2008) (3)
- A Centennial: Wilhelm Killing and the Exceptional Groups (1990) (2)
- Sophus Lie and the Role of Lie Groups in Mathematics By Sigurdur Helgason (2)
- Review: G. D. Mostow, Strong rigidity of locally symmetric spaces (1975) (2)
- The Radon Transform on Two-Point Homogeneous Spaces (2011) (2)
- Paul Günther’s Work on Hadamard’s Conjecture (1997) (1)
- Integral geometry and representation theory (1980) (1)
- A characterization of the intersection of $L^1$-spaces (1956) (1)
- Introduction: Geometric Fourier analysis on spaces of constant curvature (2000) (1)
- Solvability of Invariant Differential Operators on Homogeneous Manifolds (2010) (1)
- BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (2012) (0)
- Some geometric properties of differential operators (1972) (0)
- Structure of semisimple Lie algebras (2001) (0)
- The Mean-Value Operator (2011) (0)
- Invariants and harmonic polynomials (2000) (0)
- OPERATORS ON SYMMETRIC SPACES (2016) (0)
- The classification of simple Lie algebras and of symmetric spaces (2001) (0)
- Decomposition of symmetric spaces (2001) (0)
- The Fourier Transform on Symmetric Spaces and Applications (1993) (0)
- Remembering Klaus Peters (2015) (0)
- The Selected Works of Sigurdur Helgason (2009) (0)
- A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals (1999) (0)
- Lie Transformation Groups and Differential Operators (2011) (0)
- (C.I.M.E.) SOLVABILITY OF INVARIANT DIFFERENTIAL OPERATORS ON HOMONOGEOUS MANIFOLDS (2015) (0)
- Contemporary Mathematics Some Personal Remarks on the Radon Transform (2013) (0)
- Helgason Orbital Integrals , Symmetric Fourier Analysis and Eigenspace Representations (0)
- Lie groups and Lie algebras (2001) (0)
- On the classification of symmetric spaces (2001) (0)
- Permutations Statistics of Indexed and Poset Permutations by Einar Steingrimsson (2007) (0)
- Fourier Transforms and Distributions. A Rapid Course (2011) (0)
- Analysis on compact symmetric spaces (2000) (0)
- Solutions to exercises (2001) (0)
- Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces (2011) (0)
- The Radon transform on and on ₒ. Range questions (2008) (0)
- Response to Steele Prize Award (1988) (0)
- Spherical functions and spherical transforms (2000) (0)
- Differential equations on symmetric spaces (2008) (0)
- Structure of semisimple Lie groups (2001) (0)
- Conical distributions on the space of horocycles (1972) (0)
- 18.112 Functions of a Complex Variable, Fall 2006 (2005) (0)
- Representations of Semisimple Lie Groups (2010) (0)
- THE DERIVED ALGEBRA OF A BANACH ALGEBRA. (1954) (0)
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