Leo Sario
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Finnish mathematician
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Leo Sariomathematics Degrees
Mathematics
#5507
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#7742
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Measure Theory
#2761
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#3297
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Mathematics
Leo Sario's Degrees
- PhD Mathematics University of Helsinki
Why Is Leo Sario Influential?
(Suggest an Edit or Addition)According to Wikipedia, Leo Reino Sario was a Finnish-born mathematician who worked on complex analysis and Riemann surfaces. Early life and education After service as a Finnish artillery officer in the Winter War and World War II, he received his PhD in 1948 under Rolf Nevanlinna at the University of Helsinki.
Leo Sario'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
- Classification Theory of Riemann Surfaces (1970) (286)
- A linear operator method on arbitrary Riemann surfaces (1952) (61)
- Classification Theory of Riemannian Manifolds (1977) (54)
- Chapter II. Riemann Surfaces (1960) (38)
- The span and principal functions in Riemannian spaces (1965) (28)
- CAPACITY OF THE BOUNDARY AND OF A BOUNDARY COMPONENT (1954) (21)
- An extremal method on arbitrary Riemann surfaces (1952) (20)
- General Value Distribution Theory (1963) (19)
- Strong and weak boundary components (1956) (19)
- Existence of Dirichlet finite biharmonic functions on the Poincaré 3-ball (1973) (18)
- Complex analytic mappings (1963) (17)
- Quasiharmonic classification of Riemannian manifolds (1972) (16)
- Behavior of biharmonic functions on Wiener's and Royden's compactifications (1971) (16)
- Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions (1977) (15)
- Meromorphic functions and conformal metrics on Riemann surfaces. (1962) (15)
- Value distribution under analytic mappings of arbitrary Riemann surfaces (1963) (14)
- Existence of bounded biharmonic functions. (1973) (14)
- EXISTENCE OF COMPLETE MINIMAL SURFACES OF ARBITRARY CONNECTIVITY AND GENUS. (1965) (13)
- Biharmonic classification of Riemannian manifolds (1971) (13)
- Convergence of normal operators (1967) (13)
- N-manifolds carrying bounded but no Dirichlet finite harmonic functions (1974) (12)
- Normal operators and uniformly elliptic self-adjoint partial differential equations (1965) (11)
- Construction of Principal Functions by Orthogonal Projection (1966) (11)
- Dirichlet finite biharmonic functions with Dirichlet finite laplacians (1971) (11)
- Green's function of the clamped punctured disk (1977) (10)
- Radial quasiharmonic functions (1973) (10)
- Quasiharmonic functions on the Poincaré $N$-ball (1973) (10)
- Parabolicity and Existence of Dirichlet Finite Biharmonic Functions (1974) (9)
- Generators of the space of bounded biharmonic functions (1972) (9)
- Extremal problems and harmonic interpolation on open Riemann surfaces (1955) (9)
- Dirichlet finite biharmonic functions on the Poincaré N-ball. (1973) (9)
- Classification of Locally Euclidean Spaces (1965) (9)
- Counterexamples in the biharmonic classification of Riemannian 2-manifolds (1974) (8)
- Minimizing operators on subregions (1953) (8)
- Polyharmonic classification of Riemannian manifolds (1972) (8)
- Riemannian Manifolds of Dimension N ⩾ 4 without Bounded Biharmonic Functions (1974) (8)
- Square integrable harmonic functions on plane regions (1979) (8)
- A new operator for elliptic equations, and theP-compactification for Δu=Pu (1970) (8)
- The class of (p, q)-biharmonic functions (1972) (8)
- Parabolicity and existence of bounded biharmonic functions (1972) (8)
- Biharmonic Green’s function γ (1977) (7)
- An integral equation and a general existence theorem for harmonic functions (1963) (7)
- A Property of Biharmonic Functions with Dirichlet Finite Laplacians. (1971) (7)
- Harmonic and biharmonic degeneracy (1973) (7)
- Negative quasiharmonic functions (1974) (7)
- Positive harmonic functions and biharmonic degeneracy (1973) (7)
- Bounded Energy-Finite Solutions of Δu = Pu on a Riemannian Manifold (1971) (7)
- Picard's Great Theorem on Riemann Surfaces (1962) (6)
- Quasiharmonic degeneracy of Riemannian $N$-manifolds (1974) (6)
- Harmonic $L^{p}$-functions on Riemannian manifolds (1975) (6)
- Completeness and function-theoretic degeneracy of riemannian spaces. (1967) (6)
- Duffin’s function and Hadamard’s conjecture (1978) (6)
- Islands and peninsulas on arbitrary Riemann surfaces (1963) (6)
- Classification and Deformation of Riemannian Spaces. (1967) (5)
- Second main theorem without exceptional intervals on arbitrary Riemann surfaces. (1963) (5)
- A criterion for the existence of biharmonic Green's functions (1974) (5)
- Mappings Related to Capacity Functions (1969) (5)
- Gaussian mapping of arbitrary minimal surfaces (1966) (5)
- A relation between biharmonic Green’s functions of simply supported and clamped bodies (1976) (5)
- Modular criteria on Riemann surfaces (1953) (5)
- Harmonic fields with given boundary behavior in Riemannian spaces (1967) (5)
- Bounded polyharmonic functions and the dimension of the manifold (1973) (5)
- Border Reduction in Existence Problems of Harmonic Forms (1967) (4)
- The P-Harmonic Boundary and Energy-Finite Solutions of Δu = Pu (1971) (4)
- Completeness and existence of bounded biharmonic functions on a riemannian manifold (1974) (4)
- A Maximum Principle for Bounded Harmonic Functions on Riemannian Spaces (1970) (4)
- On locally meromorphic functions with single-valued moduli. (1963) (4)
- Point norms in the construction of harmonic forms. (1968) (4)
- Analytic mappings between arbitrary Riemann surfaces (1962) (4)
- A theorem on mappings into Riemann surfaces of infinite genus (1965) (4)
- Harmonic functionals on open Riemann surfaces. (1981) (4)
- Bounded biharmonic functions on the Poincaré N -ball (1975) (4)
- CONSTRUCTION OF FUNCTIONS WITH PRESCRIBED PROPERTIES ON RIEMANN SURFACES (1953) (3)
- Normal operators, linear liftings and the Wiener compactification (1966) (3)
- On Hadamard's problem for higher dimensions. (1977) (3)
- HARMONIC FUNCTIONS WITH GIVEN VALUES AND MINIMUM NORMS IN RIEMANNIAN SPACES. (1965) (3)
- Riemannian manifolds with bounded Dirichlet finite polyharmonic functions (1973) (3)
- Biharmonic Green’s functions and harmonic degeneracy (1975) (3)
- The P-Singular Point of the P-Compactification For Ab-Pu1 (1971) (3)
- The $P$-singular point of the $P$-compactification for $\Delta u = pu$ (1971) (2)
- Introduction: What are Principal Functions? (1968) (2)
- Parabolic riemannian planes carrying biharmonic green’s functions of the clamped plate (1976) (2)
- THE THEOREM OF RIEMANN-ROCH FOR ADJOINT SYSTEMS ON KÄHLERIAN VARIETIES (1953) (2)
- Parabolicity and existence of bounded or dirichlet finite polyharmonic functions (1974) (2)
- Existence of Biharmonic Green's Functions (1978) (2)
- Harmonic Functions on Subregion of a Riemannian Manifold (1971) (2)
- Harmonic and relative harmonic dimensions (1985) (2)
- Contributions to the Theory of Riemann Surfaces. (AM-30) (1953) (2)
- Harmonic and quasiharmonic degeneracy of Riemannian manifolds (1975) (2)
- Integrated forms derived from nonintegrated forms of value distribution theorems under analytic and quasi-conformal mappings (1966) (1)
- A Maximum Principle for Dirichlet-Finite Harmonic Functions on Riemannian Spaces (1970) (1)
- Harmonic functions on a Riemannian ball (1976) (1)
- Harmonic L P Functions and Quasiharmonic Degeneracy (1975) (1)
- Royden's Algebra on Riemannian Spaces. (1971) (1)
- RIEMANN SURFACES OF INFINITE GENUS(1) (2016) (1)
- Alternating method on arbitrary Riemann surfaces (1953) (1)
- Laplace-Beltrami operator (1977) (1)
- Quasiharmonic $L^p$-functions on riemannian manifolds (1975) (1)
- A nonexistence test for biharmonic Green's functions of clamped bodies. (1977) (1)
- Quasiharmonic $L^{p}$ functions on the Poincaré $N$-ball (1980) (1)
- A strict inclusion related to biharmonic Green's functions of clamped and simply supported bodies (1977) (1)
- Dirichlet finite biharmonic functions (1970) (1)
- Principal Functions on Harmonic Spaces (1968) (1)
- Principal Forms and Fields on Riemannian Spaces (1968) (0)
- MINIMIZING OPERATORS ON SUBREGIONS1 (2010) (0)
- Chapter V. Differentials on Riemann Surfaces (1960) (0)
- Continuity of mappings of vector lattices with norms and seminorms (1970) (0)
- Mappings into Closed Riemann Surfaces (1966) (0)
- Hadamard’s conjecture on the Green’s function of a clamped plate (1977) (0)
- Quasiharmonic $L^{p}$ functions and biharmonic degeneracy (1980) (0)
- Existence of mappings into noncompact Riemann surfaces (1966) (0)
- Harmonic, quasiharmonic, and biharmonic degeneracies (1977) (0)
- the completeness of a Riemannian space imply that it belongs to a null class in the classification theory of Riemannian spaces? That the answer is in the negative in the two-dimensional case is exemplified by (2016) (0)
- Other Classes of Analytic Functions (1970) (0)
- Extremal Slit Regions (1969) (0)
- Riesz representation of biharmonic functions (1977) (0)
- Functions with Iversen’s Property (1970) (0)
- THE MAY MEETING IN FRESNO The four hundred eighty-first meeting of the American Mathe- (2007) (0)
- Research on the Theory of Riemannian Spaces. (1970) (0)
- Harmonic and polyharmonic degeneracy. (1977) (0)
- Existence relations between harmonic and biharmonic Green's functions (1977) (0)
- Biharmonic Green’s function β: Definition and existence (1977) (0)
- Spherical harmonics generating bounded biharmonics (1982) (0)
- General principal forms imitating locally square integrable forms. (1967) (0)
- Preface and historical note (1977) (0)
- Bounded dirichlet finite biharmonic functions (1977) (0)
- Parabolicity and the Riemann Theorem (1981) (0)
- Prerequisite Riemann Surface Theory (1968) (0)
- HARMONIC SEMIFIELDS* (1966) (0)
- Extremal properties of quasiharmonic forms and functions (1971) (0)
- Biharmonic and Potential Functions and Their Applications. (1977) (0)
- Other Classes of Harmonic Functions (1970) (0)
- Positive biharmonic functions (1982) (0)
- MINIMIZING OPERATORS ON SUBREGIONS 1 (2010) (0)
- THE CLASS OF (p, #)-BIHARMONIC FUNCTIONS (2004) (0)
- The Normal Operator Method (1968) (0)
- Chapter I. Surface Topology (1960) (0)
- HARMONIC AND RELATIYE HÄRMONIC DIMENSIONS (0)
- HARMONIC AND QUASIHARMONIC DEGENERACY OF RIEMANNIAN MANIFOLDS LUNG (2009) (0)
- Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies (1976) (0)
- Mappings Related to Modulus Functions (1969) (0)
- Relation of OβN to other null classes (1977) (0)
- Behavior of Green lines at the Kuramochi boundary of a Riemann surface (1971) (0)
- Capacity, Stability, and Extremal Length (1968) (0)
- Extremal solutions of Δ u = Pu (1971) (0)
- Extremal solutions of $\Delta u=Pu$ (1971) (0)
- Mappings Related to Principal Functions (1969) (0)
- Bounded biharmonic functions (1977) (0)
- Functions with Logarithmic Singularities (1970) (0)
- Functions of Bounded Characteristic (1966) (0)
- Chapter IV. Classification Theory (1960) (0)
- Mappings into Open Riemann Surfaces (1966) (0)
- Biharmonic and quasiharmonic degeneracy (1977) (0)
- Chapter III. Harmonic Functions on Riemann Surfaces (1960) (0)
- A LINEAR OPERATOR METHOD ON (2016) (0)
- HD-Functions on Royden's Compactification of a Riemannian Space (1971) (0)
- Functions on Parabolic Riemann Surfaces (1966) (0)
- Relations between Fundamental Functions (1969) (0)
- Dirichlet Finite Analytic Functions (1970) (0)
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