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Asymptotic estimates for spectral functions connected with hypoelliptic differential operators

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Arkiv för Matematik

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Bibliography

  1. Bergendal, G., Convergence and summability of eigenfunction expansions connected with ellipitic differential operators. Medd. fr. Lunds univ. mat. sem15 (1959).

  2. Besicovitch, A. S., Almost Periodic Functions. Cambridge, 1932.

  3. Ganelius, J., Un théorème taubérien pour la transformation de Laplace. C. R. Acad. Sci. Paris242, 719–721 (1956).

    MATH  MathSciNet  Google Scholar 

  4. Gortjakov, V. N., On the asymptotic behaviour of the spectral function of a class of hypoelliptic operators. Doklady Ak. Nauk152,3, p. 519–522 (1963).

    Google Scholar 

  5. Goursat, E., Cours d’analyse mathématique2. Paris, 1924.

  6. Hörmander, L., On the theory of general partial differential operators. Acta Mathematica94 (1955).

  7. Hörmander, L. On interior regularity of the solutions of partial differential equations. Comm. of pure and appl. math.9 (1958).

  8. Keldish, M. V., On a Tauberian theorem. Trudy Matematitjeskovo Instituta Imeni V. A. Steklova, Vol. XXXVIII, 77–86 (1951).

    Google Scholar 

  9. Sz-Nagy, B., Spektraldarstellung linearer Transformationen des Hilbertschen Raumes, Berlin, 1942.

  10. Nilsson, N., Some estimates for eigenfunction expansions and spectral functions corresponding to elliptic differential operators. Math. Scand.9 (1961).

  11. —, Some growth and ramification properties of certain integrals on algebraic manifolds. Arkiv för matematik5, 463 (1964).

    MathSciNet  Google Scholar 

  12. Odhnoff, J., Operators generated by differential problems with eigenvalue parameters in equation and boundary condition. Medd. fr. Lunds univ. mat. sem.14 (1959).

  13. Schwartz., L., Théorie des distributions, I–II Paris, 1950–1951.

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  1. Nils Nilsson
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Nilsson, N. Asymptotic estimates for spectral functions connected with hypoelliptic differential operators. Ark. Mat. 5, 527–540 (1965). https://doi.org/10.1007/BF02591529

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