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.