WILLIAM R. WADE email: [email protected]CV: EDUCATION A.B. cum laude, M.A., Ph.D. University of California, Riverside HONORS Fulbright to Moscow University in Russia Fulbright to the Indian Statistical Institute in Bangalore Several National Science Foundation grants An international conference held in his honor in Eger, Hungary, 2003 Eisenhower grants and the National Science Foundation grants (via the Appalachian Math and Science Consortium Three Graduate Student Association awards for outstanding teaching at the graduate level A National Alumni Teaching Award for undergraduate teaching
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email: [email protected] CV: EDUCATIONmedia.biola.edu/mathematics/downloads/william_wade.pdf · 2013. 8. 19. · WILLIAM R. WADE email: [email protected] CV: EDUCATION A.B.
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6. _____, "Haar and Walsh series of Perron integrable functions," J. Ind. Math. Soc., Vol. 38, 19-35, 1974.
7. _____, "Sets of uniqueness and -capacity on the Group 2 ," Trans. Amer. Math. Soc., Vol. 208: 309-315, 1975.
8. _____, "Growth of Haar series on dyadic rationals," Proc. Amer. Math. Soc., Vol. 50: 198-201, 1975.
9. _____, "Growth conditions and uniqueness of Walsh series," Mich. Math. J., Vol. 24: 153-155, 1977.
10. _____, "Sets of uniqueness for Haar series," Acta Math. Acad. Sci. Hung., Vol. 30: 265-281, 1977.
11. ____ and David C. Harris, "Sets of divergence on the group 2 ," Trans. Amer. Soc., Vol. 240: 385-392, 1978.
12. _____, "H(n)-sets for the group of integers of a p-series field," Proceedings of Symposia in Pure Mathematics, Vol. 35: 325-327, 1979.
13. _____, "Sets of uniqueness for the group of integers of p-series field," Canadian J. of Math., Vol. 31: 858-866, 1979.
14. _____, and V.A. Skvorcov, "Generalizations of some results concerning Walsh series and the dyadic derivative," Anal. Math., Vol. 5: 249-255, 1979.
15. _____, "Walsh series and growth of functions on nested dyadic intervals," Journal Ind. Math. Soc., Vol. 43: 1-11, 1979.
16. _____, and G.E. Lippman, "Pseudofunctions and uniqueness on the group of integers of a p-series field," Acta. Math. Acad. Sci. Hung., Vol. 35: 1-12, 1980.
17. _____, "Uniqueness of Walsh series which satisfy an average growth condition," SIAM Journal of Mathematical Analysis, Vol. 11: 933-977, 1980.
18. _____, and C.H. Powell, "Term by term dyadic differentiation," Canad. J. of Math., Vol. 33: 247-256, 1981.
19. _____, "Applications of uniqueness for Walsh series to sampling theory," 4. Aachener Kolloquium, "Theory and Applications of Signal Processing: 64-68, 1981.
21. _____, and K. Yoneda, "Uniqueness and quasi-measures on the group of integers of a p-series field," Proc. Amer. Math. Soc., Vol. 84: 202-206, 1982.
22. _____, "Recent developments in the theory of Walsh series," Internat. J. Math. Vol. 5, No. 4, 625-673, 1982.
24. _____, "Walsh-Fourier coefficients and locally constant functions," Proc. Amer. Math. Soc., Vol. 87(3): 434-438, 1983.
25. _____, "Decay of Walsh series and dyadic differentiation," Trans. Amer. Math. Soc., Vol. 277(1): 413-420, 1983.
26. _____, "A Growth Estimate for Cesaro partial sums of multiple Walsh-Fourier series", Colloq. Math. Soc. Janos Bolyai, Vol. 49: 975-991, 1985.
27. _____, "Recent developments in the theory of Haar series," Colloquium Mathematicum, Vol. 52: 213-238, 1986.
28. _____, "A Unified Approach to Uniqueness of Walsh Series and Haar Series," Proc. Amer. Math. Soc., Vol. 99: 61-65, 1987.
29. _____, and F. Schipp, "A Fundamental Theorem of Dyadic Calculus for the Unit Square", Applicable Analysis Vol. 34: 203-218, 1989.
30. _____, F. Moritz and F. Schipp, "On the Integrability of Double Walsh series with Special Coefficients", Michigan Math. J. Vol. 37:191-201, 1990.
31. _____, The Gibbs derivative and term by term differentiation of Walsh series, "Theory and Applications of Gibbs Derivatives", P. L. Butzer and R. S. Stankovic, Editors, Math. Inst. Belgrad (1990), 59-72.
32. _____, and C.H. Powell, Term by Term Dyadic Differentiation of Rapidly Convergent Walsh series, J. Approx. Theory and Appl. Vol 7: 20-40, 1991.
33. _____, F. Schipp, and P. Simon, "Walsh Series: An Introduction to Dyadic Harmonic Analysis", A. Hilgar Publishing Ltd. (Institute of Physics), Bristol and New York, 1990 [A 561 page research monograph, comprehensive in scope, full of new ideas and better methods than available before in the literature]
34. _____, F. Moritz and F. Schipp, "Cesaro Summability of Double Walsh-Fourier Series," Trans. Amer. Math. Soc., Vol 329: 131-140, 1992.
35. _____, Review of "Walsh Series and Transforms", Bull. Amer. Math. Soc., Vol. 26: 348-359, 1992.
36. _____, (with F. Schipp), "Norm Convergence and Summability of Fourier Series with respect to Certain Product Systems", Approximation Theory, Vol. 138: 437-452, Marcel Dekker, Inc., 1992.
37. _____, (with G.E. Albert) "Haar Systems for Compact Geometries" Acta Math. Hung. Vol 61: 21 - 41, 1993.
38. _____, (with C. Powell), "Paley Sets and Term by Term Dyadic Differentiation of Walsh Series" Acta Math. Hung. Vol 62: 89-96, 1993.
39. _____, Vilenkin-Fourier series and approximation, Colloq. Math. Soc. J. Bolyai Vol 58: 699-734, 1994.
40. _____, (with S. Fridli), Rate of convergence and dyadic differentiability of Walsh series, J. D Anal. Math. Vol 62: 287-305, 1994.
42. _____, A Walsh System for Polar Coordinates, Computers Math. Applic., Vol 30:221-227, 1995.
43. _____, (with J. Tateoka), "On Strong Approximation and Summability by Cesaro Means on Besov Spaces over the 2-series field," Acta Sci. Math. Sci. (Szeged), Vol 60: 685-703, 1995.
44. _____, (with F. Schipp), "Transforms on Normed Fields," Janus Pannon. Univ. Pecs,1-175, 1995.
45. _____, "Harmonic Analysis on Vilenkin Groups,"Fourier Analysis and approximation, N.A.I. Publ: 339-370, 1996
64. ______"A Dialogue Between Calculator and Algebra," Math Teacher (NCTM), Vol 99:391-393, 2006.
65. _____, (with F. Moricz), On the Problem of Uniqueness of the Trigonometric Moment constants, Acta Math. Hungar. Vol 111, 313-324, 2007. 66. _____, An Introduction to Analysis, 4th ed, Prentice Hall, 2009. 67. _____, Convergence of Filtered Walsh-Fourier Series, Annales Univ. Sci. Budapest., Sect. Comp. Vol 33, 365-375, 2010. 68. _____, and C. Powell, "A Partial Ordering that Generates Filtered Walsh Series, Acta Math. Hung. Vol 140, 162-168, 2013.