William Wade | People, Biola University

Biola Affiliations	Faculty

Documents

CV Document (PDF)

Degrees

Ph.D., University of California, Riverside
M.A., University of California, Riverside
A.B., University of California, Riverside

Awards

Honors

Fulbright to the Indian Statistical Institute, Bangalore, India, 1984
National Science Grants, 1979, 1985-1993
Eisenhower Title II Grants, 1995-96, 1998-99
Graduate Student Association Award for Outstanding Graduate Teaching, 1983, 1997, 2007
Dean's Award for Extraordinary Service to the University, 2004
National Alumni Association Outstanding Teaching Award, 2006

Publications (Selected)

Selected Publications (For a full list, click on CV above)

Term by Term Dyadic Differentiation of Walsh Series, in "Dyadic Analysis Since 1924," Vol I, Atlantis Press, Paris, 2015, pp 347-358
Early History of Walsh Analysis, in "Dyadic Analysis Since 1924," Vol I, Atlantis Press, Paris, 2015, pp1-5
(with C. Powell) "A Partial Ordering That Generates Filtered Walsh Series,"Acta Math. Hung. Vol 140, 162-168, 2013.
Convergence of Filtered Walsh-Fourier Series, Annales Univ. Sci. Budapest., Sect. Comp. Vol 33, 365-375, 2010.
An Introduction to Analysis, 4th ed, Prentice Hall, 2009.
(with F. Moricz), On the Problem of Uniqueness of the Trigonometric Moment constants, Acta Math. Hungar. Vol 111, 313-324, 2007.
"A Dialogue Between Calculator and Algebra," Math Teacher (NCTM), Vol 99:391-393, 2006.
"Uniqueness of Square Summable Walsh Series," Acta. Sci. Math. (Szeged), Vol 72: 147-157, 2006.
Review of "Mathematical Analysis", SIAM Review, Vol. 46, 766-770, 2005.
Uniqueness of almost everywhere convergent Vilenkin series, Canadian Math. Bull., Vol. 47, 475-480, 2004.
An Introduction to Analysis, 3rd Ed. Prentice Hall, 2004.
(with D. Daniel), Uniqueness of Cesaro summable double Walsh series, Anal. Math. Vol. 30: 33-46, 2004.
A Tauberian theorem for Vilenkin Series, Proc. Amer. Math. Soc., Vol. 131: 2877-2881, 2003.
Sets of uniqueness for martingale subsequences of Vilenkin series, Colloq. Math. Soc. J. Bolyai: 433-441, 2002.
(with F. Moricz), An analogue of a theorem of F. Lukacs for double Walsh series, Acta Math. Hung. Vol 95: 323-336, 2002.
(with F. Schipp), Mellin transforms on Binary fields Applied and Computational Harmonic Anal. Vol 9: 54-71, 2001.
(with P.W. Wade), Recursions which produce Pythagorean triples, College Math. J. Vol 31: 98-101, 2000.
An Introduction to Analysis, 2nd Ed. Prentice Hall, 2000.
(with F. Schipp), Zak Transforms on binary fields, Journal Approx. Theory Vol 101: 182-195, 1999.
(with S. Perrin), Sets of uniqueness for Vilenkin groups, Acta. Sci. Math. (Szeged) Vol. 66: 631-644, 1999.
Summability estimates of double Vilenkin-Fourier Series, Math. Pannon. Vol 10, 67-75, 1999.
Growth of Cesaro means of double Vilenkin-Fourier series of unbounded type. Fourier Analysis, Birkhauser Basel, 41-50, 1999.
(with F. Schipp), "Fast Fourier Transforms on Binary Fields," Approx. Theory and Appl. Vol. 14 (1998), 91-100.
Walsh functions and Walsh series, Encyclopedia of Mathematics, Suppl. I, Kluwer Publishing Co., p. 484 1997.
Dyadic Harmonic Analysis, Contemporary Math., Vol 208: 313-350, 1997.
"Harmonic Analysis on Vilenkin Groups,"Fourier Analysis and approximation, N.A.I. Publ: 339-370, 1996
(with F. Schipp), "Transforms on Normed Fields," Janus Pannon. Univ. Pecs,1-175, 1995.
(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.
A Walsh System for Polar Coordinates, Computers Math. Applic., Vol 30:221-227, 1995.
"An introduction To Analysis," 565 pp., Prentice Hall, 1995.
(with S. Fridli), Rate of convergence and dyadic differentiability of Walsh series, J. D Anal. Math. Vol 62: 287-305, 1994.
Vilenkin-Fourier series and approximation, Colloq. Math. Soc. J. Bolyai Vol 58: 699-734, 1994.
(with C. Powell), "Paley Sets and Term by Term Dyadic Differentiation of Walsh Series" Acta Math. Hung. Vol 62: 89-96, 1993.