Anthony W. Knapp

Q: What Schools Are Affiliated With Anthony W. Knapp

Anthony W. Knapp is affiliated with the following schools: Stony Brook University, Dartmouth College, Princeton University, Cornell University

Anthony W. Knapp's AcademicInfluence.com Rankings

Anthony W. Knapp

Mathematics

#902

World Rank

#1584

Historical Rank

#396

USA Rank

Measure Theory

#665

World Rank

#906

Historical Rank

#268

USA Rank

mathematics Degrees

Download Badge

Mathematics

Anthony W. Knapp's Degrees

PhD Mathematics Princeton University

Why Is Anthony W. Knapp Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Anthony W. Knapp is an American mathematician at the State University of New York, Stony Brook working on representation theory, who classified the tempered representations of a semisimple Lie group.

(See a Problem?)

Anthony W. Knapp'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

Lie groups beyond an introduction (1988) (2135)
Denumerable Markov chains (1969) (1021)
Representation theory of semisimple groups (1986) (764)
Representation Theory of Semisimple Groups: An Overview Based on Examples. . (1986) (733)
Cohomological Induction and Unitary Representations (1995) (389)
Interwining Operators for Semisimple Groups (1971) (365)
Intertwining operators for semisimple groups, II (1980) (325)
Lie Groups, Lie Algebras, and Cohomology. (1988) (171)
Classification of irreducible tempered representa-tions of semisimple groups I (1982) (159)
L-indistinguishability and R groups for the special linear group (1982) (133)
Representations of semisimple Lie groups (2000) (119)
Cohomological Induction and Unitary Representations (PMS-45) (1995) (114)
Introduction to the Langlands Program (2000) (106)
Doubly generated Fuchsian groups. (1968) (83)
Szegö kernels associated with discrete series (1976) (82)
Classification theorems for representations of semisimple lie groups (1977) (70)
Classification of irreducible tempered representations of semisimple Lie groups. (1976) (66)
Advanced Real Analysis (2005) (49)
Representation Theory and Automorphic Forms (1997) (48)
Basic Real Analysis (2005) (41)
Singular integrals and the principal series. (1969) (40)
Limits of holomorphic discrete series (1972) (38)
Irreducible unitary representations of SU(2, 2) (1982) (33)
Irreducibility theorems for the principal series (1972) (33)
Distal functions on groups (1967) (31)
Weyl group of a cuspidal parabolic (1975) (29)
Commutativity of intertwining operators for semisimple groups (1982) (26)
Fatou's Theorem for Symmetric Spaces: I (1968) (23)
Decomposition Theorem for Bounded Uniformly Continuous Functions on a Group (1966) (22)
Intertwining operators into Dolbeault cohomology representations (1992) (21)
Poisson integrals and semisimple groups (1971) (20)
Branching theorems for compact symmetric spaces (2001) (18)
Singular Integrals and the Principal Series, II. (1970) (17)
Properties of Markov Chains (1976) (17)
Theoretical Aspects of the Trace Formula for GL(2) (1997) (17)
Commutativity of intertwining operators. II (1973) (16)
Status of classification of irreducible unitary representations (1982) (16)
Connection between Brownian motion and potential theory (1965) (15)
Irreducible constituents of principal series of $\mathrm{SL}_n(k)$ (1981) (14)
Classification of irreducible tempered representations of semisimple (14)
Correction and addition to Szegö kernels associated with discrete series (1980) (13)
Nilpotent orbits and some small unitary representations of indefinite orthogonal groups (2004) (13)
Unitary representations induced from maximal parabolic subgroups (1986) (12)
Review: V. S. Varadarajan, Lie groups, Lie algebras, and their representations, and D. P. Želobenko, Compact Lie groups and their representations (1975) (11)
Limits of discrete series with infinitesimal character zero (2007) (10)
Basic Algebra (2006) (10)
Minimal K-type formula (1983) (9)
Typesetter's Correction to: "Classification of Irreducible Tempered Representations of Semisimple Groups" (1984) (9)
Structure Theory of Semisimple Groups (1996) (9)
A quick proof of the classification of simple real Lie algebras (1996) (9)
Structure Theory of Semisimple Lie Groups (1997) (8)
The role of basic cases in classification: Theorems about unitary representations applicable to SU(N,2) (1983) (8)
Singular Integrals and the Principal Series, IV. (1975) (8)
Multiplicity one fails for $p$-adic unitary principal series (1980) (7)
Applications of the Trace Formula (1997) (7)
Group Representations and Harmonic Analysis from Euler to (1996) (6)
DISTAL FUNCTIONS. (1964) (6)
Geometric interpretations of two branching theorems of D.E. Littlewood (2003) (6)
Prerequisites From Analysis (1976) (6)
Representation theory and automorphic forms : instructional conference, International Centre for Mathematical Sciences, March 1996, Edinburgh, Scotland (1997) (5)
Intertwining operators and unitary representations, I (1989) (5)
Lie Algebras and Lie Groups (1996) (5)
Basic real analysis : along with a companion volume Advanced real analysis (2005) (4)
Exceptional Unitary Representations Of Semisimple Lie Groups (1996) (4)
Some new intertwining operators for semisimple groups (1981) (4)
Basic algebra : along with a companion volume Advanced algebra (2006) (4)
Analytic continuation of nonholomorphic discrete series for classical groups (2004) (4)
Indefinite intertwining operators. (1984) (4)
Advanced Real Analysis : Along with a companion volume Basic Real Analysis (2005) (4)
Singular Integrals and the Principal Series, III. (1974) (4)
Advanced Algebra: Along with a Companion Volume 'Basic Algebra' (2007) (3)
Irreducible unitary representations of some groups of real rank two (1987) (3)
Vogan's algorithm for computing composition series (1987) (3)
Intertwining Operators for SL(n, R) (2015) (3)
Algorithm 99: Evaluation of Jacobi symbol (1962) (2)
First Steps with the Langlands Program ∗ (2009) (2)
Universal Enveloping Algebra (1996) (2)
Unitary representations and basic cases (1983) (2)
Finite-Dimensional Representations (1996) (2)
Prerequisites for the Langlands Program∗ (2009) (2)
A construction of unitary representations in parabolic rank two (1989) (1)
Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34 (1988) (1)
Chapter VI. Measure Theory for Euclidean Space (2016) (1)
Advanced Algebra: Digital Second Edition (2016) (1)
André Weil : A Prologue (1999) (1)
The Existence of Complementary Series (2015) (1)
Chapter I. Scope of the Theory (1986) (1)
Basic Real Analysis: Digital Second Edition (2016) (1)
CHAPTER VIII. IRREDUCIBILITY THEOREM (1995) (0)
Chapter I. Introduction to Boundary-Value Problems (2017) (0)
Recurrent Potential Theory (1976) (0)
Steele Prize for Mathematical Exposition (0)
Chapter VIII. Background for Algebraic Geometry (2016) (0)
The Number Theory of Algebraic Curves (2008) (0)
Equivariant maps onto minimal flows (1968) (0)
CHAPTER VI. SIGNATURE THEOREM (1995) (0)
Chapter V. Theory of a Single Linear Transformation (2016) (0)
Chapter X. Modules over Noncommutative Rings (2016) (0)
Appendix C. Roots and Restricted Roots for Classical Groups (1986) (0)
Chapter III. Theory of Calculus in Several Real Variables (2016) (0)
Chapter V. Structure Theory for Noncompact Groups (1986) (0)
Chapter I. Preliminaries about the Integers, Polynomials, and Matrices (2016) (0)
Infinite Field Extensions (2008) (0)
Chapter III. C∞ Vectors and the Universal Enveloping Algebra (1986) (0)
Transient Potential Theory (1976) (0)
APPENDIX C. ELEMENTARY HOMOLOGICAL ALGEBRA (1995) (0)
Chapter IX. $L^{p}$ Spaces (2016) (0)
Front pages (Contents, Prefaces, List of Figures, Dependence Among Chapters, Guide, Notation and Terminology) (2017) (0)
Elliptic Curves. (MN-40), Volume 40 (1993) (0)
CHAPTER II. THE CATEGORY C(g, K) (1995) (0)
A Szegö Kernel for Discrete Series (2016) (0)
Chapter XIII. Plancherel Formula (1986) (0)
Wedderburn–Artin Ring Theory (2008) (0)
Appendix A. Elementary Theory of Lie Groups (1986) (0)
INDEX OF NOTATION (1986) (0)
Transient Boundary Theory (1976) (0)
Basic Algebra and Advanced Algebra Set (2008) (0)
Chapter IV. Topics in Functional Analysis (2017) (0)
Preliminaries about the Integers, Polynomials, and Matrices (2006) (0)
Appendix B. Elementary Complex Analysis (2016) (0)
CHAPTER I. HECKE ALGEBRAS (1995) (0)
Fields and Galois Theory (2006) (0)
Index to Volume 116 (2009) (0)
NAPP Weyl group of a cuspidal parabolic (2003) (0)
Chapter VIII. Fourier Transform in Euclidean Space (2016) (0)
Chapter VI. Compact and Locally Compact Groups (2017) (0)
Three Theorems in Algebraic Number Theory (2008) (0)
Chapter X. Global Characters (1986) (0)
CHAPTER III. DUALITY THEOREM (1995) (0)
CHAPTER IX. UNITARIZABILITY THEOREM (1995) (0)
Chapter IV. Theory of Ordinary Differential Equations and Systems (2016) (0)
Elias M. Stein (1931–2018) (2021) (0)
VII. Dirichlet's Theorem (1993) (0)
Appendix A. Background Topics (2016) (0)
IV. Mordell's Theorem (1993) (0)
CHAPTER VII. TRANSLATION FUNCTORS (1995) (0)
Hints for Solutions of Problems (2016) (0)
Chapter XII. Exhaustion of Discrete Series (1986) (0)
Chapter IV. Representations of Compact Lie Groups (1986) (0)
Review: David A. Vogan, Jr., Unitary representations of reductive Lie groups (1989) (0)
Complex Semisimple Lie Algebras (1996) (0)
A Careless Walk toward Zero: 10788 (2002) (0)
Indices (Index of Notation, General Index) (2016) (0)
Chapter IV. Homological Algebra (2016) (0)
Methods of Algebraic Geometry (2008) (0)
Recurrent Boundary Theory (1976) (0)
Chapter VIII. Commutative Rings and Their Modules (2016) (0)
Chapter VI. Holomorphic Discrete Series (1986) (0)
Singular Integrals andthePrincipal Series, III (1974) (0)
Front pages (Contents, Dependence Among Chapters, Prefaces, List of Figures, Acknowledgments, Guide, Standard Notation) (2016) (0)
Certification of algorithm 42: invert (1961) (0)
Introduction to Potential Theory (1976) (0)
Chapter IX. Fields and Galois Theory (2016) (0)
CRM Summer School Course on Representations of Real Reductive Groups (1990) (0)
Chapter III. Inner-Product Spaces (2016) (0)
Chapter V. Three Theorems in Algebraic Number Theory (2016) (0)
Intertwining operators and unitary representations II (2019) (0)
Chapter III. Topics in Euclidean Fourier Analysis (2017) (0)
Regular boundary points in Markov chains (1966) (0)
Chapter XV. Minimal K Types (1986) (0)
Chapter V. Distributions (2017) (0)
Problems for Solution: E1496-E1500 (1962) (0)
Chapter VII. Infinite Field Extensions (2016) (0)
Elliptic Curves (2001) (0)
Chapter II. Metric Spaces (2016) (0)
III. Cubic Curves in Weierstrass Form (1993) (0)
Theory of a Single Linear Transformation (2006) (0)
CHAPTER XI. TRANSFER THEOREM (1995) (0)
Background for Algebraic Geometry (2008) (0)
Chapter II. Representations of SU(2), SL(2, ℝ) and SL(2, ℂ) (1986) (0)
Chapter I. Theory of Calculus in One Real Variable (2016) (0)
Chapter II. Wedderburn-Artin Ring Theory (2016) (0)
CHAPTER V. COHOMOLOGICAL INDUCTION (1995) (0)
Chapter VIII. Admissible Representations (1986) (0)
Chapter XI. Integration on Locally Compact Spaces (2016) (0)
Chapter III. Brauer Group (2016) (0)
Chapter IX. Construction of Discrete Series (1986) (0)
Commutative Rings and Their Modules (2006) (0)
Groups and Group Actions (2006) (0)
Stokes’s Theorem and Whitney Manifolds: A Sequel to Basic Real Analysis (2021) (0)
Chapter VII. Advanced Group Theory (2016) (0)
Chapter XI. Introduction to Plancherel Formula (1986) (0)
Inner-Product Spaces (2006) (0)
Advanced Group Theory (2006) (0)
Chapter XIV. Irreducible Tempered Representations (1986) (0)
Appendix B. Regular Singular Points of Partial Differential Equations (1986) (0)
APPENDIX A. MISCELLANEOUS ALGEBRA (1995) (0)
Love and Math: The Heart of Hidden Reality, A Book Review (2014) (0)
Chapter VIII. Analysis on Manifolds (2017) (0)
Chapter XII. Hilbert and Banach Spaces (2016) (0)
Chapter VII. Induced Representations (1986) (0)
Chapter IX. Foundations of Probability (2017) (0)
Modules over Noncommutative Rings (2006) (0)
Chapter X. Topological Spaces (2016) (0)
CHAPTER XII. EPILOG: WEAKLY UNIPOTENT REPRESENTATIONS (1995) (0)
Chapter VII. Differentiation of Lebesgue Integrals on the Line (2016) (0)
Book Review: Unitary representations of reductive Lie groups (1989) (0)
Chapter IV. Groups and Group Actions (2016) (0)
Chapter X. Introduction to Wavelets (2017) (0)
Chapter VI. Multilinear Algebra (2016) (0)
Compact Lie Groups (1996) (0)
Singular Integrals and the Principal Series , IV ( intertwining operators / semisimple Lie groups (2003) (0)
Advanced Structure Theory (1996) (0)
Basic Algebra: Digital Second Edition (2016) (0)
Kernels Associated with Discrete Series (2005) (0)
APPENDIX B. DISTRIBUTIONS ON MANIFOLDS (1995) (0)
Chapter I. Transition to Modern Number Theory (2016) (0)
Vector Spaces over ℚ, ℝ, and ℂ (2006) (0)
Chapter IX. The Number Theory of Algebraic Curves (2016) (0)
Reinterpretation with Adeles and Ideles (2008) (0)
PREREQUISITES BY CHAPTER (1995) (0)
CHAPTER IV. REDUCTIVE PAIRS (1995) (0)
Chapter XVI. Unitary Representations (1986) (0)
Chapter V. Lebesgue Measure and Abstract Measure Theory (2016) (0)
Chapter II. Compact Self-Adjoint Operators (2017) (0)
Chapter VI. Reinterpretation with Adeles and Ideles (2016) (0)
Chapter VII. Aspects of Partial Differential Equations (2017) (0)
APPENDIX D. SPECTRAL SEQUENCES (1995) (0)
Book Review: Lie groups, Lie algebras, and their representations (1975) (0)
Chapter X. Methods of Algebraic Geometry (2016) (0)
Chapter II. Vector Spaces over $\mathbb Q$, $\mathbb R$, and $\mathbb C$ (2016) (0)
Transition to Modern Number Theory (2008) (0)
Preface to the Princeton Landmarks in Mathematics Edition (1986) (0)
Reviews (2003) (0)
Advanced Real Analysis: Digital Second Edition, Corrected version (2017) (0)

This paper list is powered by the following services:

Other Resources About Anthony W. Knapp

en.wikipedia.org

What Schools Are Affiliated With Anthony W. Knapp?

Anthony W. Knapp is affiliated with the following schools:

Anthony W. Knapp's Academic­Influence.com Rankings