I.
RESEARCH IN CLASSICAL ANALYSIS
I.1
REFEREED PAPERS
(Each citation is followed by the Mathematical
Reviews number if available, and by the Bibtex reference.)
1. Preservation of Lipschitz class by the
iterated conjugate operator, Studia Mathematica, XLIV (1972), 507-510.
(MR0330916) Con72
2. Formal multiplication of trigonometric
series and the idea of generalized conjugacy, Indiana University Mathematics
Journal, 22 (1973), no. 8, 705-718. (MR0312133) Con73
3. A multiplier theorem for ultraspherical
series, (with A.L. Schwartz), Studia Mathematica, LI (1974), 51-70.
(MR0358209) CS74a
4. A multiplier theorem for Jacobi expansions,
(with A.L. Schwartz), Studia Mathematica, LII (1974/75), 243-261.
(MR0387934) CS74b
Vide the slight correction Studia
Mathematica 54(1975), 107. (MR0387935) CS75a
5. Weak type multipliers for Hankel transforms,
(with A.L. Schwartz), Pacific Journal of Mathematics, 63(1976), no. 1,
125-129. (MR0477617) CS76
6. Unifying multiplier theorems of Hormander,
Marcinkiewicz, and Michlin Type, (with A.L. Schwartz), Bulletin of the American Mathematical
Society, 81(1975), 570-572. (MR0387936) CS75b
7. The Theory of Ultraspherical Multipliers,
(with A.L. Schwartz), Memoir of the American Mathematical Society,
9(1977), no. 183, 1-92. (MR0435708) CS77a
8. A failure of stability under complex
interpolation, (with A.L. Schwartz), Canadian Journal of Mathematics,
29(1977), no. 6, 1167-70. (MR0450959)
CS77b
9. The Littlewood-Paley Theory for Jacobi
Expansions, (with A.L. Schwartz), Transactions of the American Mathematical
Society, 251(1979), 219-234. (MR0531976) CS79a
10. The harmonic machinery for eigenfunction
expansions, (with A.L. Schwartz), Harmonic analysis in Euclidean spaces
(Proceedings of Symposia in Pure Mathematics, Williams College, Williamstown,
Mass., 1978), ed. Guido Weiss and Stephen Wainger, 429-434, Proceedings of Symposia in Pure
Mathematics XXV, Part 2, American Mathematical Society, Providence RI,
1979. (MR0545253) CS79b
11. Singular integrals near L1, Harmonic analysis in Euclidean spaces
(Proceedings of Symposia in Pure Mathematics, Williams College, Williamstown,
Mass., 1978), ed. Guido Weiss and Stephen Wainger, 163-165, Proceedings of Symposia in Pure
Mathematics XXV, Part 1, American Mathematical Society, Providence RI,
1979. (MR0545253) Con79
12. Convolution structures for eigenfunction
expansions arising from regular Sturm-Liouville problems, (with A.L. Schwartz),
Conference on Approximation Theory and Functional Analysis (Oberwolfach, 1983),
ed. P.L. Butzer, R.L. Stens, and B. Sz.-Nagy, 437-447, Anniversary volume on
approximation theory and functional analysis,
Internationale Schriftenreihe zur Numerischen Mathematik, 65, Birkhaeuser Verlag, Basel, 1984.
(MR0820542) CS84a
13. A remark about Calderon's upper s method of
interpolation, (with A.L. Schwartz), Interpolation Spaces and Allied Topics in
Analysis (Lund, 1983), ed. M. Cwikel and J. Peetre, 48-53, Lecture Notes in Mathematics, 1070,
Springer-Verlag, Berlin, 1984. (MR0760474) CS84b
14. Analysis of a class of probability
preserving measure algebras on compact intervals, (with A.L. Schwartz), Transactions
of the American Mathematical Society, 320(1990), no. 1, 371-393.
(MR0961620)
CS90a
15. A Hardy-Littlewood maximal inequality for
Jacobi type hypergroups, (with A.L. Schwartz), Proceedings of the American
Mathematical Society, 107(1989), no. 1, 137-143. (MR0961411) CS89
16. Product formulas, hypergroups, and the
Jacobi polynomials, (with A.L. Schwartz),
Bulletin of the American Mathematical Society (N.S.), 22 (1990),
no. 1, 91-96. (MR1003862) CS90b
17. Convolution and hypergroup structures
associated with a class of Sturm-Liouville systems, (with C. Markett and A.L. Schwartz), Transactions of the
American Mathematical Society, 332(1992), no. 1, 365-390. (MR1053112) CMS92
18.
Positive product formulas and hypergroups associated with singular
Sturm-Liouville problems on a compact interval, (with A.L. Schwartz), Colloquium
Mathematicum, LX/LXI(1990), no. 2, 525-535. (MR1096394) CS90c
19. Interpolation of Banach Algebras, (with A.L.
Schwartz), Interpolation spaces and related topics (Haifa, 1990), ed. M.
Cwickel, 41-55, Israel Mathematical
Conference Proceedings, 5, Bar-Ilan University, Ramat Gan, 1992.
(MR1206490) CS92a
20. Product formulas and convolutions for
angular and radial spheroidal wave functions, (with C. Markett and A.L.
Schwartz), Transactions of the American Mathematical Society, 338(1993),
no. 2, 695-710. (MR1104199) CMS93
21. Jacobi polynomials and related hypergroup
structures, (with C. Markett and A.L. Schwartz), Probability Measures on
Groups X (Oberwolfach, West Germany, 1990), ed. H. Heyer, 45-81, Plenum,
New York, 1991. (MR1178975) CMS91
22. Fourier analysis off groups, (with A.L. Schwartz),
The Madison Symposium on Complex Analysis (Madison WI, 1991), ed. A. Nagel and
E.L. Stout , 169-176, Contemporary Mathematics, 137, American
Mathematical Society, Providence RI, 1992. (MR1190979) CS92b
23. Continuous 2-variable polynomial hypergroups,
(with A.L. Schwartz), Proceedings of the Joint Summer Research Conference:
Applications of hypergroups and related measure algebras (Seattle, WA, 1993),
ed. W.C. Connett, M.- O. Gebuhrer, and A.L. Schwartz, 89-109, Contemporary
Mathematics, 183, American Mathematical Society, Providence, RI. 1995.
(MR1334773) CS95a
24.
Subsets of R which support hypergroups with polynomial characters, (with A.L.
Schwartz), Proceedings of the International Conference on Orthogonality, Moment
Problems and Continued Fractions in honor of Thomas J. Stieltjes, (Delft,
1994), ed. M.G. deBruin, Journal of
Computational and Applied Mathematics, 65(1995), no. 1-3, 73-84.
(MR1379120) CS95b
25.
Hypergroups and differential equations, (with A.L.Schwartz), Lie Groups and Lie
Algebras, Their Representations, Generalizations, and Applications (Moscow,
1994), ed. B.P. Komrakov, I.S. Krasil'shchik, G.L.Litvinov, and A.B.Sossinsky,
109-116, Mathematics and its
Applications, 433, Kluwer Academic Publishers, Dordrecht, 1998. (MR1628812)
CS98
26.
Product formulas and convolutions for the radial oblate spheroidal wave
functions, (with C. Markett and A.L. Schwartz), Methods and Applications in
Analysis, 6(1999), no. 3, 47-61.
(MR1803315)
CMS99
27.
Measure algebras associated with orthogonal polynomials, (with A.L.Schwartz),
Proceedings of the Joint Summer Research Conference: q-series from a
Contemporary Perspective (South Hadley, MA, 1998), ed. Mourad Ismail and Dennis
Stanton, 127-140 Contemporary Mathematics, 254, American Mathematical
Society, Providence RI, 2000. (MR1768925) CS00
28.
Partial differential equations satisfied by polynomials which have a product
formula, (with A.L. Schwartz), Conference on Special Functions (Tempe, AZ,
2000), Rocky Mountain Journal of Mathematics, 32(2002), no. 2, 607-637.
(MR1934908) CS02
I.2
TECHNICAL REPORT
The harmonic structure for a class
of eigenfunction expansions, (with A.L. Schwartz), Department of Mathematical Sciences, University of Missouri - St.
Louis, 1984, 1-69.
I.3
BOOK
Proceedings of the Joint Summer
Research Conference, Applications of hypergroups and related measure algebras,
Seattle, August 1- 6, 1993, ed. W. C. Connett, M.-O. Gebuhrer, and A. L. Schwartz, Contemporary
Mathematics, 183, American Mathematical Society, Providence RI, 1995.
(MR1334767) CGS95
I.4
BOOK REVIEW
Invited review of the two books: Real
variable methods in Fourier analysis by Miguel de Guzman (North Holland,
1981), and Interpolation of operators and singular integrals, an
introduction to harmonic analysis by Cora Sadosky (Marcel Dekker, 1979), (with
G. Welland), Bulletin of the American Mathematical Society, 8 (1983),
437-447. CW83