Charles L. Dolph Explained
Charles Laurie Dolph (August 27, 1918 – June 1, 1994) was an American mathematician known for his research in applied mathematics and engineering.[1] [2]
Biography
Dolph graduated from the University of Michigan with A.B. in 1939 and from Princeton University with M.A. in 1941 and Ph.D. in 1944. His thesis advisor was Salomon Bochner. Dolph was from 1943 to 1944 a physicist in the U.S. Naval Research Laboratory and from 1944 to 1945 an ensign in the U.S. Navy.[2]
From 1945 to 1946 Dolph worked for Michigan Bell Telephone Laboratories. In 1946 he joined the University of Michigan faculty as a lecturer with a joint appointment in the department of mathematics and in the department of engineering research at the Engineering Research Institute. At the University of Michigan's department of mathematics he became in 1947 an assistant professor, in 1954 an associate professor, and in 1960 a full professor, retiring in 1988 as professor emeritus.[2]
In 1982 Dolph, an Ann Arbor native, and his first wife donated the land for the Dolph Park Nature Area to the City of Ann Arbor. The land, consisting of 57 acres with 2 lakes, was originally owned by his parents.[1] [3]
He directed four doctoral theses and was three times a visiting professor at German universities. He was an associate editor for the Journal of Mathematical Analysis and Applications.[2]
In 1944 in New Jersey, Dolph married Marjorie Louise Tibert (1918–2010). They divorced after three of their four children died,[4] and Dolph remarried. He died in 1994.
Awards and honors
- 1946 Thompson Prize from the Institute of Radio Engineers[1]
- 1947 J. Browder Thompson Award from the Institute of Electrical and Electronics Engineers[1]
- 1957–58 Guggenheim Fellowship, spent as a sabbatical year at the Technical Universities of Munich and Aachen[1]
Selected publications
- 10.1109/JRPROC.1946.225956. A Current Distribution for Broadside Arrays Which Optimizes the Relationship between Beam Width and Side-Lobe Level. 1946. Dolph. C.L.. 51638604. Proceedings of the IRE. 34. 6. 335–348.
- 10.2307/1990583. 1990583. Nonlinear Integral Equations of the Hammerstein Type. 1949. Dolph. C. L.. Transactions of the American Mathematical Society. 66. 2. 289–307. free. 1078750.
- 10.2307/1990716. 1990716. On the Relation Between Green's Functions and Covariances of Certain Stochastic Processes and Its Application to Unbiased Linear Prediction. 1952. Dolph. C. L.. Woodbury. M. A.. Transactions of the American Mathematical Society. 72. 3. 519.
- Dolph, C. L.. On the Timoshenko theory of transverse beam vibrations. Quarterly of Applied Mathematics. 12. 2. 1954. 175–187. 10.1090/qam/62620. free.
- 2032112. Churchill. R. V.. Ruel Vance Churchill. Dolph. C. L.. Inverse Transforms of Products of Legendre Transforms. Proceedings of the American Mathematical Society. 5. 1. 93–100. 1954. 10.1090/S0002-9939-1954-0062872-4. free.
- Dolph. C. L.. McLaughlin. J. E.. Marx. I.. Symmetric linear transformations and complex quadratic forms. Communications on Pure and Applied Mathematics. 7. 4. 1954. 621–632. 0010-3640. 10.1002/cpa.3160070402.
- 24900311. On a Three Dimensional Transmission Problem of Electromagnetic Theory. Barrar. R. B.. Dolph. C. L.. Journal of Rational Mechanics and Analysis. 3. 725–743. 1954.
- 10.1137/0105008. A Saddle Point Characterization of the Schwinger Stationary Points in Exterior Scattering Problems. 1957. Dolph. C. L.. Journal of the Society for Industrial and Applied Mathematics. 5. 3. 89–104.
- On the application of infinite systems of ordinary differential equations to perturbations of plane Poiseuille flow. Dolph, C. L.. Lewis, D. C.. Quarterly of Applied Mathematics. 1958. 16. 2. 97–110. 10.1090/qam/93242. free.
- 10.1090/S0002-9904-1961-10493-X. Recent developments in some non-self-adjoint problems of mathematical physics. 1961. Dolph. C. L.. Bulletin of the American Mathematical Society. 67. 1–70. free.
- Dolph. C.L.. Weil. H.. On the change in radar cross-section of a spherical satellite caused by a plasma sheath. Planetary and Space Science. 6. 1961. 123–132. 0032-0633. 10.1016/0032-0633(61)90012-5. 1961P&SS....6..123D. 2027.42/32362. free.
- Dolph, C. L.. A unified theory of the nonlinear oscillations of a cold plasma. Journal of Mathematical Analysis and Applications. 1962. 5. 94–118. 10.1016/0022-247X(62)90007-0. free. 2027.42/32294. free.
- The analytic continuation of the resolvent kernel and scattering operator associated with the Schroedinger operator. Dolph, C. L.. McLeod, J. B.. John Bryce McLeod. Thoe, D.. Journal of Mathematical Analysis and Applications. 1966. 16. 2. 311–332. 10.1016/0022-247X(66)90174-0. free.
- Book: Dolph, Charles L.. The integral equation method in scattering theory. Problems in Analysis: A Symposium in Honor of Salomon Bochner. 1969. 201–227. https://books.google.com/books?id=ZXh9BgAAQBAJ&pg=PA201. Princeton University Press. 9781400869312.
- 10.1080/03091927009365769. 1970GApFD...1...91D. Three‐dimensional non‐geostrophic disturbances in a baroclinic zonal flow. 1970. Derome. Jacques. Dolph. C. L.. Geophysical Fluid Dynamics. 1. 1–2. 91–122.
- Book: Dolph, C. L.. Komkov, V.. Scott, R. A.. A critique of the singularity expansion and eigenmode expansion methods. Acoustic, Electromagnetic, and Elastic Wave Scattering—Focus on the T-Matrix Approach: International Symposium Held at the Ohio State University, Columbus, Ohio, USA, June 25-27, 1979 (sponsored by U.S. Office of Naval Research). Varadan, VK. Varadan, VV. Oxford. Pergamon Press. 1980. https://apps.dtic.mil/dtic/tr/fulltext/u2/a215164.pdf#page=45. 978-0-08-025096-0.
- Ramm, A. G.. Alexander Ramm. Dolph, C. L.. 1980. On the quasi-static boundary value problem of electrodynamics. Journal of Mathematical Analysis and Applications. 75. 2. 300–305. 10.1016/0022-247X(80)90081-5. 2027.42/23230 . free.
- Dolph. C. L.. Ramm. A. G.. Nonselfadjoint Operators in Diffraction and Scattering. 1981. 179–182. 10.1007/978-1-4613-3258-9_12. Gustafson K.E.. Karl Edwin Gustafson. Reinhardt W.P.. Quantum Mechanics in Mathematics, Chemistry, and Physics. Springer, Boston, MA. 978-1-4613-3260-2. 2027.42/50168. free.
References
- Web site: Charles L. Dolph 1918–1994. Memorial | Faculty History Project, University of Michigan.
- Book: Proceedings of the July Meeting, 1987, Regents of the University of Michigan at Ann Arbor. 262–263. 1987.
- Web site: Dolph Nature Area. Parks and Recreation, City of Ann Arbor.
- Web site: Marjorie Reade. Obituaries, legacy.com.
