Richard Friederich Arens | Academic Influence

Richard Friederich Arens's AcademicInfluence.com Rankings

Richard Friederich Arens

Mathematics

#1522

World Rank

#2479

Historical Rank

#620

USA Rank

Measure Theory

#536

World Rank

#751

Historical Rank

#220

USA Rank

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Mathematics

Richard Friederich Arens's Degrees

PhD Mathematics University of Chicago
Masters Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is Richard Friederich Arens Influential?

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According to Wikipedia, Richard Friederich Arens was an American mathematician. He was born in Iserlohn, Germany. He emigrated to the United States in 1925. Arens received his Ph.D. in 1945 from Harvard University. He was several times was a visiting scholar at the Institute for Advanced Study . He was an Invited Speaker at the ICM in 1950 in Cambridge, Massachusetts.

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Richard Friederich Arens'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

The adjoint of a bilinear operation (1951) (451)
Operational calculus of linear relations (1961) (340)
Topologies for Homeomorphism Groups (1946) (251)
Topological representation of algebras (1948) (201)
A Topology for Spaces of Transformations (1946) (175)
Operations induced in function classes (1951) (142)
Topologies for function spaces (1951) (118)
On embedding uniform and topological spaces. (1956) (115)
Analytic Functions of Several Banach Algebra Elements (1955) (94)
Dense inverse limit rings. (1958) (93)
A generalization of normed rings. (1952) (83)
Extension of functions on fully normal spaces (1952) (81)
Complex processes for envelopes of normal noise (1957) (79)
Characterization of the space of continuous functions over a compact Hausdorff space (1947) (68)
Remark on the concept of compactness (1950) (64)
GENERALIZED ANALYTIC FUNCTIONS (1956) (61)
Linear topological division algebras (1947) (58)
The space $L^\omega$ and convex topological rings (1946) (58)
Note on Convergence in Topology (1950) (47)
Duality in linear spaces (1947) (43)
Function values as boundary integrals (1954) (41)
The maximal ideals of certain functions algebras (1958) (33)
ALGEBRAIC EXTENSION OF NORMED ALGEBRAS (1956) (32)
Representation of functionals by integrals (1950) (31)
Classical Lorentz Invariant Particles (1971) (29)
The analytic-functional calculus in commutative topological algebras. (1961) (28)
The group of invertible elements of a commutative Banach algebra (1963) (27)
Inverse-producing extensions of normed algebras (1958) (26)
Algebraic Difficulties of Preserving Dynamical Relations When Forming Quantum‐Mechanical Operators (1965) (25)
On the concept of Einstein–Podolsky–Rosen states and their structure (1999) (25)
Genocide in Paraguay (1976) (25)
Multiplicativity factors for seminorms. II (1990) (23)
A Banach algebra generalization of conformal mappings of the disc (1956) (21)
Extension of Coverings, of Pseudometrics, and of Linear-Space-Valued Mappings (1953) (19)
The closed maximal ideals of algebras of functions holomorphic on a riemann surface (1958) (19)
Representation of $\ast$-algebras (1947) (18)
Classical relativistic particles (1971) (16)
An analysis of relativistic two-particle interactions (1972) (15)
Extensions of Banach algebras (1960) (14)
THE BOUNDARY INTEGRAL OF LOG Iof FOR GENERALIZED ANALYTIC FUNCTIONS (1957) (13)
The Durham Rule in Action: Judicial Psychiatry and Psychiatric Justice (1967) (12)
Projections on continuous function spaces (1965) (11)
The boundary integral of \vert\vert for generalized analytic functions (1957) (11)
The geometry of relativistic $n$-particle interactions. (1969) (11)
Motions of relativistic Hamiltonian interactions (1974) (11)
An axiomatic basis for classical thermodynamics (1963) (10)
Hamiltonian structures for homogeneous spaces (1971) (10)
George Mackey and his work on representation theory and foundations of physics (2007) (9)
Reducing the order of a Lagrangian (1981) (9)
Jurors, Jury Charges and Insanity (1965) (9)
Review: L. H. Loomis, An introduction to abstract harmonic analysis (1954) (9)
Multiplicativity Factors for Orlicz Space Function Norms (1993) (9)
LAWS LIKE NEWTON'S (1966) (8)
A class of seminorms on function algebras (1991) (8)
Weighted l∞ norms for matrices (1994) (8)
Normal form for a Pfaffian. (1964) (8)
Approximation in, and Representation of, Certain Banach Algebras (1949) (8)
A quantum dynamical, relativistically invariant rigid body system (1970) (8)
The problem of locally-$A$ functions in a commutative Banach algebra $A$ (1962) (7)
Homeomorphisms Preserving Measure in a Group (1954) (7)
Make Mad the Guilty (1970) (7)
Newton\'s observations about the field of a uniform thin spherical shell (1990) (7)
Multiplicativity Factors for Function Norms (1993) (6)
Ideals in Banach algebra extensions (1968) (5)
Psycholinguistics and the Confession Dilemma (1956) (5)
MANIFESTLY DYNAMIC FORMS IN THE CARTAN-HAMILTON TREATMENT OF CLASSICAL FIELDS (1981) (5)
Quadrative seminorms and Jordan structures on algebras (1993) (5)
The Tambalan and his medical practices in Leyte and Samar Islands, Philippines (1957) (5)
Differential-geometric elements of analytic dynamics (1964) (5)
Weierstrass products for inverse limits of Banach algebras (1966) (4)
Hamiltonian formalism for non-invariant dynamics (1973) (4)
The conserved currents for the Maxwellian field (1983) (4)
The Early Pulahan movement in Samar and Leyte (1959) (4)
The Constituent Elements of Crime (1969) (3)
Weighted l1 norms for matrices (1996) (3)
Stable seminorms revisited (1998) (3)
Models of Hamiltonian several‐particle interactions (1975) (3)
Representation of moments by integrals (1963) (3)
Wave mechanization of dynamical systems (1965) (3)
Folk practices and beliefs of Leyte and Samar (1971) (2)
Corrected Sommerfeld-Wilson rule in geometric quantization (1977) (2)
The Rice Ritual in the East Visayan Islands, Philippines (1957) (2)
Israel's Responsibility in Lebanon (1983) (2)
In Defense of Public Order: The Emerging Field of Sanction Law (1985) (2)
Witches and witchcraft in Leyte and Samar Islands, Philippines (1957) (2)
Stable Norms on Complex Numbers and Quaternions (1999) (2)
The role of sanction in conflict resolution (1967) (2)
Nuremberg and Group Prosecution (1951) (2)
Due Process and the Rights of the Mentally Ill: The Strange Case of Frederick Lynch (1964) (2)
Use of Psychiatry in Soviet Criminal Proceedings Part 1 (1950) (2)
CAUCHY INTEGRAL FOR FUNCTIONS OF SEVERAL VARIABLES (1956) (2)
Quantum-mechanization of dynamical systems (1967) (2)
Reducing the order of the Lagrangean for a classical field in curved space-time (1985) (1)
The dynamic differential forms of the Klein-Gordon field and the conformal group (1984) (1)
THE APRIL MEETING IN BERKELEY (2007) (1)
Jordan-multiplicative norms (1996) (1)
Pseudo regular elements in a normed ring. (1992) (1)
Contributions to Functional Analysis (1966) (1)
Models of relativistic hamiltonian interactions (1975) (1)
Vicarious Punishment and War Crimes Prosecution: The Civil War or Alice Through the Looking Glass (1951) (1)
On a theorem of Gleason, Kahane and Żelazko (1987) (1)
Israel's Responsibility in Lebanon: Israel in Lebanon: The Report of the International Commission to Enquire into Reported Violations of International Law by Israel during Its Invasion of the Lebanon. . Sean MacBride. (1983) (1)
Make mad the guilty : the insanity defense in the District of Columbia (1969) (1)
Jordan-multiplicative norms (1996) (1)
The limit of a sequence of squares in an algebra need not be a square (1989) (0)
The gauge group of the dirac system (1986) (0)
The Genocide Convention and the Constitution (1950) (0)
Notes on camote rituals in Leyte and Samar Islands, Philippines (1957) (0)
Death Camps in Paraguay. (1978) (0)
Translation, dilatation, Lorentz invariant two-particle interactions (1982) (0)
2-particle interactions produced by transformations of phase space (1982) (0)
Lifting group actions to the cotangent bundle (1979) (0)
Advanced Algebra: Operations without Numbers (1951) (0)
THE PSYCHIATRIST AND THE LAW, by Winfred Overholser. Harcourt, Brace and Co., New York, 1953. Pp. 147. $3.50. (1954) (0)
The Defense of Walter X Wilson: An Insanity Plea and a Skirmish in the War on Poverty (1966) (0)
THE APRIL MEETING IN STANFORD (2007) (0)
Hamiltonians allowing wave equations (1973) (0)
The dynamical differential forms of the Klein—Gordon field (1983) (0)
Education in communist China from 1949-1951 (1956) (0)
Momentum in relativistic four-particle interactions (1973) (0)
A method for making relativistic non-quantum systems by constructing the Hamiltonian and the other nine generating functions (1975) (0)
Professor Arens Replies (1975) (0)
Multilinear operators and weighted l1 norms (1997) (0)
Men without Faces (1950) (0)
6. Sanctioning Measures and the Sharing of Affection (1961) (0)
PREVENTION OF ADRENAL CORTICAL CARCINOMA BY DIETHYLSTILBESTROL*, t (2005) (0)
Use of Psychiatry in Soviet Criminal Proceedings: Part II Psychiatry and Criminal Procedure (1950) (0)
Annual Index: Volume 5 (2005) (0)
Review: D. W. Hall and G. L. Spencer, IIElementary topology (1957) (0)
THE DECEMBER MEETING IN PASADENA The four hundred seventy-sixth meeting of the American (2007) (0)

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