40.  Watson transforms and Bessel functions on symmetric cones, in preparation (with Q. Zheng)

39.  (Book) Special Functions of Complex Matrix Argument, in preparation (with D.Richards).

38.  N-widths for spaces of holomorphic functions on bounded symmetric domains, Journal of Approximation Theory 104 (2000), 121-141 (with Ding and  Richards).

37.  Bessel functions on boundary orbits and singular holomorphic representations, in Group Representations and Harmonic Analysis: A volume in Honor of the Memory of Harish-Chandra, Symposia in Pure Mathematics, Amer. Math. Soc. 68 (2000), 223-254 (with Ding, Kunze, and Richards).

36.  Algebraic methods toward higher order probability inequalities, Stochastic Processes and Related Topics: A volume in memory of Stamatis Cambanis, Birkhauser, Boston (1998), 185-206 (with Richards).

35.  (Invited book review) Analysis on Symmetric Cones by J. Faraut and A. Koranyi, reviewed in Bulletin Amer. Math. Soc. 35 (1998), 77-986.

34.  Ramanujan's master theorem for symmetric cones, Pacific J. Math. 195 (1996), 447-490 (with Ding and Richards).

33.  (Book) Representation Theory and Harmonic Analysis, American Mathematical Society Contemporary Mathematics series 191 (1995), (Editor, with  D. Richards, P. Sally, and T. Ton-That).

32.  Invariant theory for boundary components, J. of Contemporary Mathematics 191 (1995), 75-83.

31.  Total positivity, harmonic analyses, and random walks on Weyl chambers, J. Con­tem­porary Mathematics 191 (1995), 153-162 (with Richards).

30.  Total positivity, finite reflection groups, and a formula of Harish-Chandra, J. Approx­imation Theory 82 (1995), 60-87 (with Richards).

29.  Harmonic Analysis, Encyclopedia of the History and Philosophy of the Mathematical Sciences, Routledge, 1994, v1. 395-418.

28.  Operator-valued Bessel functions on Jordan algebras, J. reine und andgewandte Math. 435 (1993), 157-196 (with H. Ding).

27.  Constant term identities and hypergeometric functions on spaces of Hermitian matrices, Journal of Statistical Planning and Inference 34 (1993), 151-158 (with D. Richards).

26.  Hypergeometric functions on complex matrix space, Bulletin Amer. Math. Soc. 24 (1991), 349-355 (with Richards).

25.  Total positivity, spherical series, and hypergeometric functions, J. Approximation Theory 59 (1989), 224-246 (with Richards).

24.  Special functions of matrix argument, I: Algebraic induction, zonal polynomials, and hypergeometric functions, Transactions Amer. Math. Soc. 301 (1987), 781-811 (with Richards).

23.  Compact group actions, spherical Bessel functions, and invariant random variables, J. Multivariate Analysis 21 (1987), 128-138 (with D. Richards).

22.  (Book) The Merging of Disciplines: New Directions in Pure, Applied, and Compu­tational Mathematics, Springer-Verlag, 1986, (Editor, with R. Ewing and C. Martin).

21.  Reciprocity theorems for classical groups, I: The GL(r,k) subgroup of GL(2r,k), J. reine und angewandte Math. 369 (1986), 88-100 (with Kunze).    

20.  Finite-dimensional induction, II: Reciprocity theorems, J. reine und angewandte Math. 369 (1986), 11-20 (with Kunze).

19.  (Book) The Mathematics of Energy Research, SIAM, 1984, (Editor).

18.  Finite-dimensional induction and new results on invariants for classical groups, I, Amer. J. Math. 106 (1984), 893-973 (with Kunze).

17.  Matrix-valued special functions and representation theory of the conformal group I: The generalized gamma function, Transactions Amer. Math. Soc. 258 (1980), 319-350 (with Holman).

16.  A new class of Bessel functions and applications in harmonic analysis, Symposia in Pure Math. XXXV, Amer. Math. Soc. (1979), 407-415 (with Holman).

15.  On the evolution of noncommutative harmonic analysis, Amer. Math. Monthly 85 (1978),525-548.

14.  The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group, Bulletin A.M.S. 83 (1977), 412-415 (with W.J.Holman, III and Kunze). 

13.  Bessel functions and representation theory, II: holomorphic discrete series and metaplectic representations, J. Functional Analysis 25 (1977), 1-49, (with Kunze).

12.  A Poisson integral for Stiefel harmonics, Symposia Math. XXLI (1977), Academic Press, 353-362 (with Kunze).

11.  Analysis on Siegel domains and certain matrix spaces, Symposia in Pure Math. XXIX, Amer. Math. Soc. (1976), 283-290 (with Kunze).

10.  Bessel functions and representation theory, I, J. Functional Analysis 22, (1976) 73-105 (with Kunze).

9.    Bessel transforms and holomorphic discrete series II, preprint 1973 (with Kunze).

8.    Generalized Bessel transforms and unitary representations, Symposia in Pure Math. XXVI, Amer. Math. Soc. (1973), 347-351 (with Kunze).

7.    Generalized Fourier-Bessel transforms and holomorphic discrete series, Proceedings International Conference in Harmonic Analysis, Springer Verlag (1972), 79-122 (with Kunze).

6.    Fourier decompositions of certain representations, Analysis and Geometry of Symmet­ric Spaces, Marcel Dekker Inc. (1972), 119-139 (with R.A. Kunze).

5.    The dual of a parabolic subgroup and degenerate principal series of Sp(n,C), Amer­ican J. Math. 93 (1971), 398-428.

4.    Restriction to a parabolic subgroup and irreducibility of degenerate principal series of Sp(2,C), Bulletin Amer. Math. Soc. 76 (1970), 1281-1285.

3.    Generalized Fourier transforms of distributions, J. London Math. Soc. 43 (1968), 398-400.

2.    The Plancherel transform on the nilpotent part of Gand some applications to the representation theory of G₂, Transactions Amer. Math. Soc. 132 (1968), 411-446.

1.    Discussion of an iterative solution to an equation of radiative transfer, J. of Math. and Physics 49 (1962), 53-61.

Ken Gross Publications

46. ‘Serious’ mathematics for K-6 teachers leads to higher student achievement, in preparation (with D. Harris and H. Meyers).

45. The Adjective-Noun Approach to Arithmetic, in preparation (with H. Gross)

44.  (Book) Mathematics as a Second Language, (a Vermont Mathematics Initiative course) consists of a text, volume of Daily Class Activities, a detailed Solutions Manual, and an Instructors Guide, prepublication draft 2007.

43.  (Book) Functions and Algebra for Elementary and Middle School Teachers, prepublication draft in preparation for 2008.

42.  (Book) Calculus for Elementary and Middle School Teachers (a Vermont Mathematics Initiative course), prepublication draft in preparation for 2008.

41.  (Book) Introduction to Group Representations and Harmonic Analysis on Euclidean Spaces, in preparation (with D. Richards and Q. Zheng).