Lenz, D.: Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks. Memoirs of the American Mathematical Society vol. arXiv:1511.06137ĭe Lamadrid, J.G., Argabright, L.N.: Almost Periodic Measures. Keller, G., Richard, C.: Dynamics on the graph of the torus parametrisation. Huck, C., Richard, C.: On pattern entropy of weak model sets.
#PURE POINT MEASURE DISTRIBUTION SERIES#
(ed.) The Mathematics of Long-Range Aperiodic Order, NATO ASI Series vol. Hof, A.: Diffraction by aperiodic structures. Hof, A.: On diffraction by aperiodic structures. Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis, vol.
Group Methods in Commutative Harmonic Analysis, Encyclopaedia of Mathematical Sciences, vol. Havin, V.P., Nikolski, N.K.: Commutative Harmonic Analysis. Springer, New York (2009)įavorov, S.Y.: Fourier quasicrystals and Lagarias’ conjecture. North-Holland, Amsterdam (1990)ĭeitmar, A., Echterhoff, S.: Principles of Harmonic Analysis. Preprint arXiv:1704.00302īutzer, P.L., Dodson, M.M., Ferreira, P.J.S.G., Higgins, J.R., Schmeisser, G., Stens, R.L.: Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Preprint arXiv:1602.08928ījörklund, M., Hartnick, T., Pogorzelski, F.: Aperiodic order and spherical diffraction, II: The shadow transform and the diffraction formula (2017). 43–60 (2000)ījörklund, M., Hartnick, T., Pogorzelski, F.: Aperiodic order and spherical diffraction, I: Auto-correlation of model sets (2017). CRM Monographs Series of American Mathematical Society, Providence, pp. (eds.) Directions in Mathematical Quasicrystals.
Springer, Berlin (1975)īernuau, G., Duneau, M.: Fourier analysis of deformed model sets. arXiv:math-ph/9901008īerg, C., Forst, G.: Potential Theory on Locally Compact Abelian Groups. arXiv:math/0203030īaake, M., Moody, R.V., Schlottmann, M.: Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces. arXiv:1512.07129īaake, M., Moody, R.V.: Weighted Dirac combs with pure point diffraction. Cambridge University Press, Cambridge (2013)īaake, M., Huck, C., Strungaru, N.: On weak model sets of extremal density. Encyclopedia of Mathematics and its Applications, vol. American Mathematical Society, Providence (1974)īaake, M., Grimm, U.: Aperiodic Order: Vol. Memoirs of the American Mathematical Society, vol. Distributions are also important in physics and engineering where many problems naturally lead to differential equations whose solutions or initial conditions are singular, such as the Dirac delta function.Argabright, L.N., Gil de Lamadrid, J.: Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups. In particular, any locally integrable function has a distributional derivative.ĭistributions are widely used in the theory of partial differential equations, where it may be easier to establish the existence of distributional solutions than classical solutions, or where appropriate classical solutions may not exist. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. ( Learn how and when to remove this template message)ĭistributions, also known as Schwartz distributions or generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. ( December 2021) ( Learn how and when to remove this template message) This article may require copy editing for formatting and grammar.
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