Theophil Henry Hildebrandt
Mathematician
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(Suggest an Edit or Addition)According to Wikipedia, Theophil Henry Hildebrandt was an American mathematician who did research on functional analysis and integration theory. Hildebrandt was born in Dover, Ohio, graduated from high school at age 14 and at age 17 in 1905 received his bachelor's degree from the University of Illinois. As a graduate student at the University of Chicago he earned his master's degree in 1906 and his PhD in 1910, with thesis A Contribution to the Foundations of Fréchet's Calcul Fonctionnel written under the direction of E. H. Moore. He became an instructor at the University of Michigan in 1909 and then a full professor in 1923, serving as chair of the mathematics department from 1934 until his retirement in 1957. His doctoral students include Ralph S. Phillips, Charles Earl Rickart, and John V. Wehausen.
Theophil Henry Hildebrandt's Published Works
Published Works
- Introduction to the theory of integration (1963) (197)
- Implicit functions and their differentials in general analysis (143)
- On Linear Functional Operations and the Moment Problem for a Finite Interval in One or Several Dimensions (1933) (88)
- On systems of linear differentio-Stieltjes-integral equations (1959) (81)
- Definitions of Stieltjes Integrals of the Riemann Type (1938) (58)
- On bounded linear functional operations (1934) (54)
- On the moment problem for a finite interval (1932) (30)
- Integration in abstract spaces (1953) (29)
- Über vollstetige lineare Transformationen (1928) (25)
- Note on the Convergence of a Sequence of Functions of a Certain Type (1908) (23)
- The Borel theorem and its generalizations (1926) (19)
- A Simple Continuous Function with a Finite Derivative at No Point (1933) (18)
- On uniform limitedness of sets of functional operations (1923) (17)
- Linear continuous functionals on the space $(BV)$ with weak topologies (1966) (16)
- On unconditional convergence in normed vector spaces (1940) (16)
- Lebesgue Integration (1930) (15)
- Convergence of sequences of linear operations (11)
- A Contribution to the Foundations of Frechet's Calcul Fonctionnel (1912) (10)
- On integrals related to and extensions of the Lebesgue integrals (1917) (9)
- Necessary and Sufficient Conditions for the Interchange of Limit and Summation in the Case of Sequences of Infinite Series of a Certain Type (8)
- Linear operations on functions of bounded variation (1938) (8)
- Linear functional transformations in general spaces (1931) (6)
- Compactness in the Space of Quasi-Continuous Functions (1966) (5)
- Existence of a Minimum of a Quadratic Function (1908) (3)
- Remarks on the Abel-Dini Theorem (1942) (3)
- Review: Eliakim Hastings Moore, General Analysis. Part 2. The Fundamental Notions of General Analysis (1940) (2)
- On the interchange of limit and Lebesgue integral for a sequence of functions (1931) (2)
- On a theory of linear differential equations in general analysis (2)
- Alexander Ziwet—In memoriam (1929) (1)
- Pringsheim on Complex Variables (1926) (0)
- BORDEEED FBEDHOLM DETERMINANTS . [ June , ON BORDERED FREDHOLM DETERMINANTS (0)
- Outlines of Research: General Analysis (1925) (0)
- Memorandum concerning the deferment of graduate students, teachers, and research workers in physical science (1946) (0)
- The second Madison Colloquium (1927) (0)
- On boundary value problems in linear differential equations in general analysis (0)
- On a generalization of a theorem of Dini on sequences of continuous functions (1914) (0)
- The second Ithaca Colloquium (0)
- Hadamard's Memorial Volume (1937) (0)
- On bordered Fredholm determinants (1920) (0)
- Discussions: Relating to Finding Derivatives of Trigonometrical Functions (1918) (0)
- New Edition of Osgood on Functions (1931) (0)
- Errata: “On a theory of linear differential equations in general analysis” [Trans. Amer. Math. Soc. 18 (1917), no. 1, 73–96; 1501063] (1917) (0)
- Note on interchange of order of limits (0)
- Elementary Differential Equations. (1930) (0)
- Discussions: Marginal Notes (1929) (0)
- On Pseudo-Resolvents of Linear Integral Equations in General Analysis (1920) (0)
- The hyperbolic functions (0)
- Questions, Discussions, and Notes (1933) (0)
- On the Determination of Conics Through Two Points, the Major Axis and One Focus Being Given (1908) (0)
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