@article{SEDP_1980-1981____A13_0, author = {Greiner, Peter C.}, title = {On the {Laguerre} calculus of left-invariant convolution (pseudo-differential) operators on the {Heisenberg} group}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:11}, pages = {1--39}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1980-1981}, zbl = {0518.58036}, language = {en}, url = {http://archive.numdam.org/item/SEDP_1980-1981____A13_0/} }
TY - JOUR AU - Greiner, Peter C. TI - On the Laguerre calculus of left-invariant convolution (pseudo-differential) operators on the Heisenberg group JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:11 PY - 1980-1981 SP - 1 EP - 39 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://archive.numdam.org/item/SEDP_1980-1981____A13_0/ LA - en ID - SEDP_1980-1981____A13_0 ER -
%0 Journal Article %A Greiner, Peter C. %T On the Laguerre calculus of left-invariant convolution (pseudo-differential) operators on the Heisenberg group %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:11 %D 1980-1981 %P 1-39 %I Ecole Polytechnique, Centre de Mathématiques %U http://archive.numdam.org/item/SEDP_1980-1981____A13_0/ %G en %F SEDP_1980-1981____A13_0
Greiner, Peter C. On the Laguerre calculus of left-invariant convolution (pseudo-differential) operators on the Heisenberg group. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1980-1981), Exposé no. 11, 39 p. http://archive.numdam.org/item/SEDP_1980-1981____A13_0/
[1] Non-elliptic differential operators of type □b", (in preparation).
and , "[2] A fundamental solution for a subelliptic operator", Bull. Amer. Math. Soc. 79 (1973), pp . 373 -376. | MR | Zbl
, "[3] Estimates for the ∂ b - complex and analysis on the Heisenberg group", Comm. Pure Appl. Math. 27 (1974), pp. 429 - 522. | Zbl
and , "[4] "Fourier analysis on the Heisenberg group. I. Schwartz space", J. Func. Analysis 36 (1980), pp. 205-254. | MR | Zbl
,[5] Local solvability and homogeneous distributions on the Heisenberg group", Comm . PDE, 5 (5) (1980), pp. 475-560. | MR | Zbl
, "[6] Necessary and sufficient conditions for the solvability of the Lewy equation", Proc. Nat. Acad. of Sciences, U.S.A., 72 (1975), pp. 3287-3289. | MR | Zbl
, and , "[7] Estimates for the ∂-Neumann problem ", Math. Notes Series, n° 19, Princeton, Univ. Press, Princeton, N.J. 1977. | Zbl
and , "[8] On the solvability of some differential operators of type □ b", Proc. of the Seminar on Several Complex Variables, Cortona, Italy, 1976- 1977, pp. 106-165. | Zbl
, and , "[9] Singular integrals in homogeneous spaces and some problems of classical analysis", Ann. Scuola Norm. Sup. Pisa 25 (1971), pp. 575-648. | Numdam | MR | Zbl
and , "[10] An example of a smooth linear partial differential equation without solution", Ann. of Math., 66 (1957), pp. 155-158. | MR | Zbl
, "[11] The Weyl transform and bounded operators on Lp (lRn)", Report n° 54 of the Math. Inst. of the Univ. of Genova, 1980.
, "[12] Multidimensional singular integrals and integral equations", Pergamon Press, 1965. | MR | Zbl
, "[13] Lectures on pseudo-differential operators", Math. Notes Series, n° 24, Princeton Univ. Press, Princeton, N.J. 1979. | MR | Zbl
and , "[14] Elliptic Singular Integral Equations", Amer. Math. Soc. Proc. Symp. Pure Math. 10 (1967), pp. 308-315. | MR | Zbl
, "[15] Orthogonal polynomials", Amer. Math. Soc. Colloquium Publ., V. 23, Amer. Math. Soc., Providence, R.I., 1939. | Zbl
, "