Linda Preiss Rothschild | Academic Influence

Linda Preiss Rothschild's AcademicInfluence.com Rankings

Linda Preiss Rothschild

Mathematics

#1519

World Rank

#2474

Historical Rank

#619

USA Rank

Measure Theory

#3008

World Rank

#3575

Historical Rank

#872

USA Rank

mathematics Degrees

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Mathematics

Linda Preiss Rothschild's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Linda Preiss Rothschild Influential?

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According to Wikipedia, Linda Preiss Rothschild is a professor emeritus of mathematics at the University of California, San Diego. Her thesis research concerned Lie groups, but subsequently her interests broadened to include also polynomial factorization, partial differential equations, harmonic analysis, and the theory of several complex variables.

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Linda Preiss Rothschild'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

Hypoelliptic differential operators and nilpotent groups (1976) (1128)
Factoring Polynomials Over Algebraic Number Fields (1976) (160)
Regularity of CR mappings between algebraic hypersurfaces (1995) (120)
Factoring multivariate polynomials over the integers (1973) (106)
Algebraicity of holomorphic mappings between real algebraic sets inCn (1996) (93)
Germs of CR maps between real analytic hypersurfaces (1988) (93)
CR structures with group action and extendability of CR functions (1985) (92)
Convergence and finite determination of formal CR mappings (1999) (92)
CR automorphisms of real analytic manifolds In complex space (1996) (87)
Parametrization of local biholomorphisms of real analytic hypersurfaces (1997) (81)
Local geometric properties of real submanifolds in complex space (2000) (79)
Reflection Ideals and mappings between generic submanifolds in complex space (2000) (76)
Geometric properties of mappings between hypersurfaces in complex space (1990) (66)
Mappings of real algebraic hypersurfaces (1995) (54)
On the geometry of analytic discs attached to real manifolds (1994) (44)
EQUIVALENCES OF REAL SUBMANIFOLDS IN COMPLEX SPACE (2000) (43)
Orbits in a real reductive Lie algebra (1972) (42)
Mappings of three-dimensional CR manifolds and their holomorphic extension (1988) (41)
Cauchy-Riemann functions on manifolds of higher codimension in complex space (1990) (39)
Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent lie groups (1981) (34)
Normal forms for generic manifolds and holomorphic extension of CR functions (1987) (33)
Lie group structures on groups of diffeomorphisms and applications to CR manifolds (2004) (31)
Transversality of holomorphic mappings between real hypersurfaces in different dimensions (2007) (30)
A criterion for hypoellipticity of operators constructed from vector fields (1979) (30)
Unique continuation and regularity at the boundary for holomorphic functions (1990) (25)
A generalized complex Hopf Lemma and its applications to CR mappings (1993) (25)
A general reflection principle in C2 (1991) (25)
A criterion for analytic hypoellipticity of a class of differential operators with polynomial coefficients (1983) (23)
Nonvanishing of the differential of holomorphic mappings at boundary points (1996) (23)
Unbounded conjugacy classes in lie groups and location of central measures (1974) (23)
Transversality of CR mappings (2004) (22)
Local solvability of second order differential operators on nilpotent Lie groups (1981) (21)
Remarks on the generic rank of a CR mapping (1992) (19)
Local solvability of left invariant differential operators on the Heisenberg group (1979) (19)
Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups (1981) (17)
Unique continuation and a schwarz reflection principle for analytic sets (1993) (17)
Dynamics of the Segre varieties of a real submanifold in complex space (2000) (17)
A local Hopf lemma and unique continuation for harmonic functions (1993) (17)
Images of real hypersurfaces under holomorphic mappings (1992) (16)
Embeddability of abstract CR structures and integrability of related systems (1987) (16)
Compactness of Certain Homogeneous Spaces of Finite Volume (1975) (15)
Harmonic functions satisfying weighted sign conditions on the boundary (1993) (12)
Mappings between real submanifolds in complex space (2003) (11)
Points in general position in real-analytic submanifolds in CN and applications (2001) (10)
Extension of holomorphic functions in generic wedges and their wave front sets (1988) (10)
Representations of semisimple groups associated to nilpotent orbits (1974) (10)
L 2 Estimates for the Boundary Laplacian Operator on Hypersurfaces (1988) (10)
Holomorphic mappings between algebraic hypersurfaces in complex space (1995) (8)
Images of real submanifolds under finite holomorphic mappings (2006) (8)
CR mappings of finite multiplicity and extension of proper holomorphic mappings (1987) (7)
Nonexstence of optimal L2 estimates for the boundary laplacian operator on certain weakly pseudoconvex domains (1980) (7)
Central idempotent measures on connected locally compact groups (1974) (6)
A remark on hypoellipticity of homogenious invariant differential operators on nilpotent lie gropus (1983) (5)
Algebraicity of holomorphic mappings between real algebraic sets in ${\bold C}^n$ (1995) (5)
Transversal Lie group actions on abstract CR manifolds (1990) (4)
Central measures on semisimple Lie groups have essentially compact support (1972) (4)
DEFORMATION OF GENERIC SUBMANIFOLDS IN A COMPLEX MANIFOLD (2006) (4)
Directions of Analytic Discs Attached to Generic Manifolds of Finite Type (1994) (4)
Invariant polynomials and conjugacy classes of real Cartan subalgebras (1971) (4)
Analyticity of solutions of partial differential equations on nilpotent lie groups (1984) (3)
CR mappings and their holomorphic extension (1987) (3)
Formal equivalences between real-analytic hypersurfaces (2002) (3)
Mappings of real submanifolds in complex spaces of different dimensions (2000) (2)
Local Holomorphic Equivalence of Real Analytic Submanifolds in CN (1999) (2)
Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group (1982) (2)
REGULARITY OF CR MAPPINGS BETWEEN ALGEBRAIC (1996) (2)
Review: P. C. Greiner and E. M. Stein, Estimates for the $\overline \partial$-Neumann problem (1978) (1)
CR mappings between real hypersurfaces in complex space (1988) (1)
Unique Continuation of Harmonic Functions at Boundary Points and Applications to Problems in Complex Analysis (1996) (1)
A BIT OF INFORMATION THEORY (2015) (1)
Smoothness and analyticity for solutions of first order systems of partial differential equations on nilpotent Lie groups (1985) (1)
A distribution-theoretic proof of Kirillov's character formula for nilpotent lie groups (1974) (1)
On uniqueness of quasi-split real semisimple Lie algebras (1970) (1)
Iterated Segre mappings of real submanifolds in complex space and applications (2006) (1)
Semi-rigid CR structures and holomorphic extendability (1985) (1)
A unipotent group associated with certain linear groups (1980) (0)
CHAPTER XII. HOLOMORPHIC MAPPINGS OF SUBMANIFOLDS (1999) (0)
CHAPTER VII. BOUNDARY VALUES OF HOLOMORPHIC FUNCTIONS IN WEDGES (1999) (0)
Holomorphic extension for solutions of locally integrable systems of complex vector fields (1990) (0)
CHAPTER III. VECTOR FIELDS: COMMUTATORS, ORBITS, AND HOMOGENEITY (1999) (0)
Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups (1983) (0)
Projection on Segre varieties and determination of holomorphic mappings between real submanifolds (2006) (0)
ON UNIQUENESS OF QUASI-SPLIT REAL (2016) (0)
Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group (1981) (0)
BI-INVARIANT PSEUDO-LOCAL OPERATORS ON LIE GROUPS (1972) (0)
CHAPTER XI. NONDEGENERACY CONDITIONS FOR MANIFOLDS (1999) (0)
CHAPTER VI. GEOMETRY OF ANALYTIC DISCS (1999) (0)
CHAPTER XIII. MAPPINGS OF REAL-ALGEBRAIC SUBVARIETIES (1999) (0)
TRANSVERSALITY OF CR MAPPINGS By PETER EBENFELT and LINDA P. ROTHSCHILD (2005) (0)
Analyticity of Smooth CR Mappings of Generic Submanifolds (2006) (0)
CHAPTER X. SEGRE SETS (1999) (0)
Class I: Mathematical and Physical Sciences Section 1: Mathematics (2006) (0)
Analytic approximability of solutions of partial differential equations (1988) (0)
CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS (1999) (0)
CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂN (1999) (0)
Unipotent groups associated with linear groups of type R (1980) (0)
Salah Baouendi 1937–2011: A Mathematical Life on Three Continents (2015) (0)
New invariants of CR manifolds and a criterion for finite mappings to be diffeomorphic (2009) (0)
CHAPTER IV. COORDINATES FOR GENERIC SUBMANIFOLDS (1999) (0)
2 A pr 2 00 3 MAPPINGS BETWEEN REAL SUBMANIFOLDS IN COMPLEX SPACE (2003) (0)
Analytic approximation for homogeneous solutions of invariant differential operators on Lie groups (2019) (0)
CHAPTER II. ABSTRACT AND EMBEDDED CR STRUCTURES (1999) (0)
CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS (1999) (0)
XXI 11-1 CR MAPPINGS AND THEIR HOLOLOMORPHIC EXTENSION (2018) (0)
Invariance of the Parametric Oka Property Franc Forstnerič (2011) (0)
CHAPTER IX. HOLOMORPHIC EXTENSION OF MAPPINGS OF HYPERSURFACES (1999) (0)

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