Louis Auslander
#38,050
Most Influential Person Now
American mathematician
Louis Auslander's AcademicInfluence.com Rankings
Louis Auslandermathematics Degrees
Mathematics
#2048
World Rank
#3222
Historical Rank
#822
USA Rank
Measure Theory
#1808
World Rank
#2212
Historical Rank
#569
USA Rank
Download Badge
Mathematics
Louis Auslander's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
- Bachelors Mathematics Princeton University
Similar Degrees You Can Earn
Why Is Louis Auslander Influential?
(Suggest an Edit or Addition)According to Wikipedia, Louis Auslander was a Jewish American mathematician. He had wide-ranging interests both in pure and applied mathematics and worked on Finsler geometry, geometry of solvmanifolds and nilmanifolds, locally affine spaces, many aspects of harmonic analysis, representation theory of solvable Lie groups, and multidimensional Fourier transforms and the design of signal sets for communications and radar. He is the author of more than one hundred papers and ten books.
Louis Auslander's Published Works
Published Works
- Flows on Homogeneous Spaces (1963) (349)
- Polarization and unitary representations of solvable Lie groups (1971) (200)
- Unitary representations of solvable Lie groups (1966) (178)
- Is computing with the finite Fourier transform pure or applied mathematics (1979) (154)
- An exposition of the structure of solvmanifolds. Part I: Algebraic theory (1973) (147)
- The discrete Zak transform application to time-frequency analysis and synthesis of nonstationary signals (1991) (119)
- SIMPLY TRANSITIVE GROUPS OF AFFINE MOTIONS. (1977) (111)
- Radar Ambiguity Functions and Group Theory (1985) (108)
- BIEBERBACH'S THEOREM ON SPACE GROUPS AND DISCRETE UNIFORM SUBGROUPS OF LIE GROUPS, II.* (1960) (98)
- The structure of complete locally affine manifolds (1964) (92)
- HOLONOMY OF FLAT AFFINELY CONNECTED MANIFOLDS (1955) (88)
- Introduction to Differentiable Manifolds (1963) (75)
- On the Holonomy Group of Locally Euclidean Spaces (1957) (71)
- On a Problem of Philip Hall (1967) (64)
- Abelian harmonic analysis, theta functions and function algebras on a nilmanifold (1975) (58)
- On curvature in Finsler geometry (1955) (50)
- On parallelizable eigensolvers (1992) (47)
- ON RADICALS OF DISCRETE SUBGROUPS OF LIE GROUPS. (1963) (47)
- Characterizing the radar ambiguity functions (1984) (45)
- CHARACTERISTIC CLASSES OF COMPACT SOLVMANIFOLDS (1962) (42)
- Almost algebraic Lie algebras (1968) (41)
- G-Induced Flows (1966) (41)
- Quantization and representations of solvable Lie groups (1967) (41)
- Bieberbach's Theorem on Space Groups and Discrete Uniform Subgroups of Lie Groups, II (1961) (41)
- Lecture Notes On Nil-Theta Functions (1977) (38)
- Abelian semi-simple algebras and algorithms for the Discrete Fourier Transform (1984) (37)
- Computing decimated finite cross-ambiguity functions (1988) (36)
- New algorithms for the multidimensional discrete Fourier transform (1983) (35)
- REAL FUNCTIONS COMING FROM FLOWS ON COMPACT SPACES AND CONCEPTS OF ALMOST PERIODICITY (1963) (33)
- Differential Periodic Maps. (1967) (29)
- Splitting Theorems and the Structure of Solvmanifolds (1970) (29)
- On a Conjecture of C. T. C. Wall (1976) (28)
- An account of the theory of crystallographic groups (1965) (26)
- An exposition of the structure of solvmanifolds. part II: $G$-induced flows (1973) (26)
- Control theory and applications (1990) (25)
- Uniform distribution in solvmanifolds (1971) (25)
- Signal processing Part I: signal processing theory (1990) (24)
- Automorphism groups of finitely generated nilpotent groups (1967) (23)
- Flat Lorentz 3-manifolds (1959) (19)
- The multiplicative complexity of certain semilinear systems defined by Polynomials (1980) (18)
- Wide-band ambiguity function and a.x+b group (1990) (18)
- The Fourier transform and the discrete Fourier transform (1989) (17)
- Examples of Locally Affine Spaces (1956) (17)
- Comparison of the Gabor and short-time Fourier transforms for signal detection and feature extraction in noisy environments (1990) (16)
- The multiplicative complexity of the Discrete Fourier Transform (1984) (16)
- The Automorphism Group of a Polycyclic Group (1969) (16)
- Hecke's theorem in quadratic reciprocity, finite nilpotent groups and the cooley-tukey algorithm (1982) (16)
- Translation-invariant subspaces inL2 of a compact nilmanifold. I (1973) (16)
- A Generalized Poisson Summation Formula (1996) (15)
- Multidimensional Cooley-Tukey Algorithms Revisited (1996) (15)
- Incidence Matrices and Linear Graphs (1959) (14)
- Fourier transforms that respect crystallographic symmetries (1987) (13)
- Free groups, Hirsch-Plotkin radicals, and applications to geometry (1965) (13)
- Solvable Lie groups and locally euclidean Riemann spaces (1958) (12)
- Communication Codes and Bernoulli Transformations (1998) (12)
- SOLVABLE LIE GROUPS ACTING ON NILMANIFOLDS. (1960) (12)
- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES (1963) (12)
- DISCRETE UNIFORM SUBGROUPS OF SOLVABLE LIE GROUPS (1961) (10)
- Discrete solvable matrix groups (1960) (10)
- The Finite Zak Transform and the Finite Fourier Transform (1992) (10)
- Fundamental Groups of Compact Solvmanifolds (1960) (10)
- On finite Gabor expansion of signals (1990) (9)
- Vector Bundles Over Tori and Noncompact Solvmanifolds (1975) (8)
- Some Compact Solvmanifolds and Locally Affine Spaces (1958) (8)
- On the Realization of a Linear Graph Given Its Algebraic Specification (1961) (8)
- Direct sums of bilinear algorithms (1981) (8)
- A Factorization Theorem for the Fourier Transform of a Separable Locally Compact Abelian Group (1984) (7)
- Topological dynamics on nilmanifolds (1961) (7)
- Ring structure and the fourier transform (1985) (7)
- Review: S. Helgason, Differential geometry and symmetric spaces (1964) (7)
- AMBIGUITY FUNCTIONS AND GROUP REPRESENTATIONS (1987) (6)
- Four dimensional compact locally hermitian manifolds (1957) (6)
- Modifications of Solvmanifolds and G-Induced Flows (1966) (6)
- On the group of affinities of locally affine spaces (1958) (6)
- On a conjecture of G. D. Mostow and the structure of solvmanifolds (1969) (6)
- Flows on some three dimensional homogeneous spaces (1961) (5)
- Computing the Two-Dimensional Discrete Fourier Transform on the ASPEN Parallel Computer Architecture (1987) (5)
- Algebraic structures for ⨁∑_{≥1}²(/) compatible with the finite Fourier transform (1978) (5)
- On theEuler characteristic of compact locally affine spaces (1961) (5)
- Evaluating finite Fourier transforms that respect group symmetries (1988) (5)
- A fixed point theorem for nilpotent Lie groups (1958) (5)
- Sliding Windowed Fourier Transforms and the Heisenberg Group (1993) (4)
- A characterization of discrete solvable matrix groups (1961) (4)
- Dimensionless Fast Fourier Transforms (1997) (4)
- The use of forms in variational calculations (1955) (4)
- Signal processing theory (1990) (4)
- Time-Frequency Analysis And Synthesis Of Non-Stationary Signals (1989) (4)
- Invariant subspace theory for three-dimensional nilmanifolds (1972) (4)
- A method in metric Diophantine approximation (1972) (3)
- Classical differential equations on manifolds (1959) (3)
- Flows on solvmanifolds (1963) (3)
- Algebraic Structures for Σ n 1 L 2 (Z/n) Compatible with the Finite Fourier Transform (1978) (3)
- A matrix free treatment of the problem of Riemann matrices (1981) (3)
- On the sheeted structure of compact locally affine spaces. (1958) (3)
- An algebraic classification of the three-dimensional crystallographic groups (1991) (3)
- Crystallographic space groups and algorithms (1989) (3)
- Radar Waveform Design and the Heisenberg Group (1995) (3)
- Programming Methods For Crystallography (1989) (2)
- On free nilmanifolds and their associated non compact solvmanifolds (1975) (2)
- On the Euler characteristic of compact complete locally affine spaces. II (1961) (2)
- Discrete transformations on tori and flows on solvmanifolds (1962) (2)
- On holonomy covering spaces (1956) (2)
- Multi-Target Ambiguity Functions (1993) (2)
- Remark on the use of forms in variational calculations (1956) (2)
- Functions on Γ\N and theta functions (1975) (2)
- A New Tool for Signal Processing (1993) (1)
- Ergodic G-induced flows on compact solvmanifolds (1973) (1)
- Weil Multipliers (1995) (1)
- Fiber bundle structures and harmonic analysis of compact heisenberg manifolds (1972) (1)
- The genus of a class of graphs (1966) (1)
- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS (1963) (1)
- Algebraic structures for $\bigoplus \sum \sb{n\geq 1}L\sp{2}(Z/n)$\ compatible with the finite Fourier transform (1978) (1)
- Balanced Computation of Two-Dimensional Transforms on a Tree Machine (1990) (1)
- Applied and Computational Complex Analysis. By Peter Henrici (1988) (0)
- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E (1963) (0)
- An example of the use of the computer as an experimental tool in mathematical research (1976) (0)
- On the topology of printed circuits (1959) (0)
- Abelian Varieties, Nil-Theta and Theta Functions (1977) (0)
- Generalized Automorphisms of Labelled Graphs and Graphical Invariants (1963) (0)
- Mathematics Through Statistics (1979) (0)
- A non-abelian view of abelian varieties (1977) (0)
- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) (1963) (0)
- Complete locally affine spaces and algebraic hulls of matrix groups (1963) (0)
- What are Numbers (1969) (0)
- Elementary transformation theory (1975) (0)
- On the topology of tangent bundles (1959) (0)
- The fourier transform and the nilmanifold Γ\N (1975) (0)
- Contents, Vol. 30, 1974 (1974) (0)
- Fine Structure of the Classical Gabor Approximation (1992) (0)
- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS (1963) (0)
- LECTURE SERIES IN DIFFERENTIAL EQUATIONS. SESSION II. DYNAMICAL SYSTEMS (1965) (0)
- Calculus : a first course (1971) (0)
- Wavelets: a general overview (1989) (0)
- Weil Transform and Error Correcting Codes (1996) (0)
- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS (1963) (0)
- SOME PROBLEMS OF LIE GROUPS (1961) (0)
- Ergodic properties of generalized affinities of compact nilmanifolds (1973) (0)
- Applied Harmonic Analysis (1993) (0)
- Jacobi Theta Functions and the Finite Fourier Transform (1977) (0)
- Theta functions and distinguished subspaces (1975) (0)
- Cohomology and theta functions (1975) (0)
- Approximate frames and the narrowband multitarget radar problem (1994) (0)
This paper list is powered by the following services:
Other Resources About Louis Auslander
What Schools Are Affiliated With Louis Auslander?
Louis Auslander is affiliated with the following schools: