Hugo D. Junghenn
Hugo D. Junghenn
Professor of Mathematics
Contact:
Hugo Junghenn currently serves as Professor of Mathematics. He has previously served as the chair of the the Department of Mathematics in 1986 and between 1997 and 2001.
- Functional Analysis
- Semigroups
- Single-Variable Calculus II (MATH 1232)
- Real Analysis 1 (MATH 4239)
PUBLISHED BOOKS
1. Compact Right Topological Semigroups and Generalizations of Almost Periodicity, Lecture Notes in Mathematics 663, Springer--Verlag, N.Y. (1978) (243 pages). (with J.F. Berglund and P. Milnes).
2. Analysis on Semigroups: Function Spaces, Compactifications, Representations, John Wiley and Sons, N.Y. (1989) (334 pages). (with J.F. Berglund and P. Milnes).
3. Option Valuation: An Introduction to Financial Mathematics, Chapman & Hall/CRC Financial Mathematics Series N.Y. (2011) (252 pages).
4. A Course in Real Analysis, Chapman Hall/CRC, N.Y., (2015) (600 pages).
REFEREED JOURNAL ARTICLES
1. Demicontinuity and hemicontinuity in Frechet space, Proc. Amer. Math. Soc. 38 (1973), 89--91.
2. Arcs defined by one--parameter semigroups of operators, Proc. Amer. Math. Soc. 44 (1974), 113--120 (with C. T. Taam).
3. Tensor products and almost periodicity, Proc. Amer. Math. Soc. 43 (1974), 99--105.
4. Tensor products of spaces of almost periodic functions, Duke Math. J. 41 (1947), 661--666.
5. Almost periodic compactifications of transformation semigroups, Pacific J. Math 57 (1975), 207--216.
6. Some general results on fixed points and invariant means, Semigroup Forum 11 (1975), 153--164.
7. Universal mapping properties of semigroup compactifications, Semigroup Forum 15 (1978), 375--386 (with J.F. Berglund and P. Milnes).
8. Almost periodic functions on semidirect products of transformation semigroups, Pacific J. of Math.79 (1978), 117--128.
9. The Maak compactification of a dense subsemigroup, Semigroup Forum 17 (1979), 261--265.
10. Amenability of function spaces on thick subsemigroups, Proc. Amer. Math. Soc.75 (1979), 37--41.
11. Algebras of functions on direct products of semigroups, Rocky Mtn. J. Math.10 (1980), 589--597.
12. Topological left amenability of semidirect products, Canad. Math. Bull.24 (1981), 79--85.
13. Semigroup compactifications of semidirect products, Trans. Amer. Math. Soc. 265 (1981), 393--404 (with B.T.Lerner).
14. Amenability induced by amenable homomorphic images, Semigroup Forum 24 (1982), 11--23.
15. Distal compactifications of semigroups, Trans. Amer. Math. Soc. 274 (1982), 379--397.
16. Extensions of continuous functions on dense semigroups, Illinois J. Math. 27 (1983), 421--435.
17. Existence and structure theorems for semigroup compactifications, Semigroup Forum 28 (1984) 109—122 (with D. Pandian).
18. Weakly almost periodic representations of semigroups by Markov operators, Semigroup Forum 35 (1987) 195--205.
19. On extending continuous functions on dense subsemigroups, Semigroup Forum 43 (1991) 25--32 (with H. Sedaghat).
20. Direct sums of spaces of functions on semigroups, Semigroup Forum 49 (1994) 115--123.
21. Compactifications of N-fold and infinite semidirect products of semigroups, Semigroup Forum 51 (1995) 31--45
22. Compactifications of operator semigroups, Trans. Amer. Math. Soc. 348 (1996) 1051--1073.
23. Almost periodic compactifications of product flows, Semigroup Forum, 58, (1999), 298 -- 312.
24. Distal compactifications of group extensions (with P. Milnes), Rocky Mountain Journal of Mathematics, 29 (1999), 209 -- 227.
25. Analysis on a discrete 6-dimensional nilpotent group (with P. Milnes), J. Sci. Univ. Tehran 3 (1999), 95 -- 113.
26. Almost periodic compactifications of group extensions (with P. Milnes.) Czech. Math. J. 52 (127) (2002), 237 -- 254.
27. Almost periodic compactifications of semidirect product flows, Semigroup Forum, 66, (2003), 328 -- 336.
28. Almost Periodic Events Generated By Random Flows, Semigroup Forum, 88, (2014), 177--194
29. Compactifications of Zappa products, (with P. Milnes), Rocky Mountain J. of Math. 44, Number 6, 2014, 1903 – 1921
- B.S. Physics, Albright College, 1964
- M.A. Mathematics, Villanova University, 1967
- Ph.D. Mathematics, The George Washington University, 1970