Hugo D. Junghenn

Hugo Junghenn
Title:
Professor of Mathematics
Office:
720C
Address:
Phillips Hall
801 22nd Street, NW
Washington, District Of Columbia 20052
Phone:
202-994-6236
Email:
[email protected]
Website:
Hugo's Site

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. 

Current Research

  • Functional Analysis
  • Semigroups

Education

  • B.S. Physics, Albright College, 1964
  • M.A. Mathematics, Villanova University, 1967
  • Ph.D. Mathematics, The George Washington University, 1970

Publications

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

 

 

Classes Taught

  • Single-Variable Calculus II (MATH 1232)
  • Real Analysis 1 (MATH 4239)