Kurt Otto Friedrichs | Academic Influence

Kurt Otto Friedrichs's AcademicInfluence.com Rankings

Kurt Otto Friedrichs

Mathematics

#469

Historical Rank

Measure Theory

#168

Historical Rank

mathematics Degrees

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Mathematics

Kurt Otto Friedrichs's Degrees

PhD Mathematics University of Göttingen

Why Is Kurt Otto Friedrichs Influential?

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According to Wikipedia, Kurt Otto Friedrichs was a noted German-American mathematician. He was the co-founder of the Courant Institute at New York University, and a recipient of the National Medal of Science. Biography Friedrichs was born in Kiel, Schleswig-Holstein on September 28, 1901. His family soon moved to Düsseldorf, where he grew up. He attended several different universities in Germany studying the philosophical works of Heidegger and Husserl, but finally decided that mathematics was his real calling. During the 1920s, Friedrichs pursued this field in Göttingen, which had a renowned Mathematical Institute under the direction of Richard Courant. Courant became a close colleague and lifelong friend of Friedrichs.

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Kurt Otto Friedrichs'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 Papers

Über die partiellen Differenzengleichungen der mathematischen Physik (1928) (3507)
Supersonic Flow And Shock Waves (1948) (2694)
Systems of conservation equations with a convex extension. (1971) (587)
Symmetric positive linear differential equations (1958) (568)
On the perturbation of continuous spectra (1948) (423)
Symmetric hyperbolic linear differential equations (1954) (399)
The identity of weak and strong extensions of differential operators (1944) (321)
On the Boundary-Value Problems of the Theory of Elasticity and Korn's Inequality (1947) (288)
Perturbation of Spectra in Hilbert Space (1967) (265)
Mathematical Aspects of the Quantum Theory of Fields (1954) (237)
A boundary-layer theory for elastic plates (1961) (233)
The existence of solitary waves (1954) (214)
On certain inequalities and characteristic value problems for analytic functions and for functions of two variables (1937) (187)
Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren (1934) (162)
Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren (1934) (141)
Differential forms on riemannian manifolds (1955) (137)
Asymptotic phenomena in mathematical physics (1955) (125)
[71-1] Systems of conservation equations with a convex extension, Proc. Nat. Acad. Sci. USA, 68 (1971), 1686–1688 (1986) (114)
Eine invariante Formulierung des Newtonschen Gravitationsgesetzes und des Grenzüberganges vom Einsteinschen zum Newtonschen Gesetz (1928) (107)
On the differentiability of the solutions of linear elliptic differential equations (1953) (102)
Non-linear mechanics (1942) (94)
Perturbation of Spectra (1973) (91)
The Non-Linear Boundary Value Problem of the Buckled Plate. (1939) (90)
Boundary value problems for first order operators (1965) (74)
Waves on a shallow sloping beach (1948) (70)
MATHEMATICAL ASPECTS OF THE QUANTUM THEORY OF FIELDS. PART 5. FIELDS MODIFIED BY LINEAR HOMOGENEOUS FORCES (1953) (68)
Singular perturbations of non-linear oscillations (1946) (67)
Über die Spektralzerlegung eines Integraloperators (1938) (61)
Advanced Ordinary Differential Equations (1965) (60)
On Differential Operators in Hilbert Spaces (1939) (56)
Über ein Minimumproblem für Potentialströmungen mit freiem Rande (1934) (55)
Nonlinear Hyperbolic Differential Equations for Functions of Two Independent Variables (1948) (54)
Special Topics in Fluid Dynamics (1966) (51)
Die Randwert-und Eigenwertprobleme aus der Theorie der elastischen Platten. (Anwendung der direkten Methoden der Variationsrechnung) (1928) (47)
Über die ausgezeichnete Randbedingung in der Spektraltheorie der halbbeschränkten gewöhnlichen Differentialoperatoren zweiter Ordnung (1936) (42)
Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lösungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen (1928) (40)
Ein Verfahren der Variationsrechnung, das Minimum eines Integrals als das Maximum eines anderen Ausdruckes darzustellen (40)
Criteria for discrete spectra (1950) (34)
Forced vibrations of systems with nonlinear restoring force (1943) (34)
Spektraltheorie halbbeschränkter Operatoren I. und II. Teil (1935) (30)
Geometrical Acoustics. II. Diffraction, Reflection, and Refraction of a Weak Spherical or Cylindrical Shock at a Plane Interface (1955) (29)
Das Anfangswertproblem einer beliebigen nichtlinearen hyperbolischen Differentialgleichung beliebiger Ordnung in zwei Variablen. Existenz, Eindeutigkeit und Abhängigkeitsbereich der Lösung (1928) (25)
INTEGRATION OVER HILBERT SPACE AND OUTER EXTENSIONS. (1957) (24)
On a perturbation through which a discrete spectrum becomes continuous (1962) (21)
Lectures on advanced ordinary differential equations (1965) (21)
On Symmetrizable Differential Operators (1986) (19)
Mathematical aspects of the quantum theory of fields parts I and II (1951) (15)
On clarkson's inequalities† (1970) (14)
A theorem of Lichtenstein (1947) (13)
From Pythagoras to Einstein (1966) (12)
An Inequality for Potential Functions (1946) (12)
Pseudo-differential operators : an introduction : lectures given in 1967-68 at the Courant Institute (1968) (11)
On the adiabatic theorem in quantum theory (1956) (10)
THEORY OF MAXWELL'S EQUATIONS WITHOUT DISPLACEMENT CURRENT. Magneto- Hydrodynamics Note No. V (1957) (8)
[27-3] Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lösungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen, (With H. Lewy), Math. Ann. 98(1927), 192–204 (1986) (8)
Mathematical aspects of the quantum theory of fields. Part IV. Occupation number representation and fields of different kinds (1952) (8)
Nonlinear wave motion (1958) (7)
Von Neumann’s Hilbert Space Theory and Partial Differential Equations (1980) (6)
Spectral representations of linear operators (1948) (5)
Mathematical Theory of Hyperbolic Flow Equations for Functions of Two Variables (1976) (4)
[28-2] (With R.Courant and H. Lewy), Über die partiellen Differenzengleichungen der mathematischen Physik, Math. Ann., 100(1928), 32–74. English translation [67-2] (1986) (4)
Functional analysis and applications : lectures given in 1949-1950 (1956) (4)
The Finite Stieltjes Momentum Problem. (1939) (4)
Nonlinear wave motion. Magnetohydrodynamics Note No. VIII (1958) (4)
Integration of functionals : a seminar (1957) (3)
[53-4] On the differentiability of the solutions of linear elliptic differential equations, Comm. Pure Appl. Math., VI (1953), 299–326 (1986) (3)
Operators with Discrete Spectra (1973) (3)
Mathematical aspects of the quantum theory of fields. Part III. Boson field in interaction with a given source distribution (1952) (3)
[44-1] The identity of weak and strong extensions of differential operators, Trans. A.M.S., 55(1944), 132–151 (1986) (3)
LIMITING PROCESS LEADING TO THE EQUATIONS OF RELATIVISTIC AND NONRELATIVISTIC FLUID DYNAMICS. (1970) (2)
On the wave function renormalization in a simple model (1962) (2)
On the Differentiability of Solutions of Accretive Linear Differential Equations (1974) (2)
Spektraltheorie linearer Differentialoperatoren. (1935) (2)
The theory of wave propagation (1957) (2)
Unobserved observables and unobserved causality (1981) (2)
B. Mathematical Aspects of Flow Problems of Hyperbolic Type (1954) (2)
[58-1] Symmetric positive linear differential equationsa, Comm. Pure Appl. Math., XI (1958), 333–418 (1986) (1)
Flow in Nozzles and Jets (1976) (1)
Lectures on advanced ordinary differential equations, 1948-1949 (1956) (1)
Special topics in fluid dynamics, 1952-1953 (1953) (1)
From Pythagoras to Einstein: NEW MATHEMATICAL LIBRARY (1965) (1)
Zur Berechnung freitragender Flügel . (1)
[32-1] Über fortsetzbare Anfangsbedingungen bei hyperbolischen Differentialgleichungen in drei Veränderlichen (With H. Lewy), Ges. Wiss. Göttingen, Math. — Phys. Klasse, (1932), 135–143. [54-1] Symmetric hyperbolic differential equations, Comm. Pure Appl. Math., VII (1954), 345–392 (1986) (1)
Beiträge Zur Theorie Der Spektralschar (1935) (1)
Means for enclosing a plasma of high temperature (1959) (0)
Papers in Asymptotics (1986) (0)
Über die angenäherte Berechnung der Strömung um einen Propeller in Fahrt mit unendlicher Flügelzahl . (0)
Bemerkung zur Hadamardschen Methode bei hyperbolischen Differentialgleichungen (1986) (0)
Theory of Viscous Fluids (1971) (0)
Die Grenzreziproke positiv definiter unendlicher Matrizen (1934) (0)
Über fortsetzbare Anfangsbedingungen bei hyperbolischen Differentialgleichungen in drei Veränderlichen. (1986) (0)
Bemerkung über die ideale Strömung um einen Körper bei verschwindender Zähigkeit (0)
[65-1] Boundary value problems for first order operators, (With Peter D. Lax), Comm. Pure Appl. Math., XVIII (1965), 355–388 (1986) (0)
Lecture Series in Differential Equations Session 5. Differential Equations of Mathematical Physics (1966) (0)
[48-2] Nonlinear hyperbolic differential equations for functions of two independent variables, Amer. J. Math., LXX(1948), 555–589 (1986) (0)
Papers in Elasticity (1986) (0)
Flow in Three Dimensions (1976) (0)
Papers involving Variational Problems (1986) (0)
General Theory of Perfect Fluids (1971) (0)
Erratum to: Boundary Value Problems for First Order Operators (1986) (0)
From Pythagoras to Einstein: Space and Time Measurement in the Special Theory of Relativity (1965) (0)
From Pythagoras to Einstein: Inelastic Impact (1965) (0)
[67-1] On symmetrizable differential operators, Proc. Symp. Pure Math., 10 (1967), Singular Integrals, ed. Alberto P. Calderon, A.M.S., 128–137, (with P.D. Lax). (1986) (0)
Methods of mathematical physics : lectures given during 1947-1948 (1955) (0)
From Pythagoras to Einstein: Introduction (1965) (0)
Non-Bounded Operators (1973) (0)
are bound to react irrationally under the slightest provocation (1990) (0)
Motion in Two Dimensions — Airwing of Infinite Span (1971) (0)
From Pythagoras to Einstein: Momentum and Energy in the Special Theory of Relativity. Impact (1965) (0)
Remarks on the notion of state in quantum mechanics (1979) (0)
[47-1] A theorem of Lichtenstein, Duke Math. J., 14(1947), 67–82 (1986) (0)
One-Dimensional Flow (1976) (0)
A chapter in the theory of linear operators in Hilbert space (1951) (0)
Integration in the complex plane (1942) (0)
Motion in Three Dimensions (1971) (0)
From Pythagoras to Einstein: Dedication (1965) (0)
Papers in Spectral Theory (1986) (0)
Norm and Inner Product (1973) (0)
A MECHANISM OF PRECURSOR FORMATION (1954) (0)
From Pythagoras to Einstein: Vectors (1965) (0)
From Pythagoras to Einstein: Signed Numbers (1965) (0)
RESEARCH IN PERTURBATION THEORY IN LINEAR OPERATORS NO. 2 FOR OFFICE OF ORDNANCE RESEARCH (1961) (0)
Erratum to: Symmetric Positive Linear Differential Equations (1986) (0)
Riemannian geometry and theory of relativity : lectures (1956) (0)
Contributions to Magnetohydrodynamics (1986) (0)
From Pythagoras to Einstein by K. O. Friedrichs (1965) (0)
Isentropic Irrotational Steady Plane Flow (1976) (0)
From Pythagoras to Einstein: Components and Coordinates. Spaces of Higher Dimension (1965) (0)
From Pythagoras to Einstein: The Pythagorean Theorem (1965) (0)

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