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On the Divergence of Spectral Expansions of Elliptic Differential Operators
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نویسنده
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Ashurov Ravshan ,Ahmedov Anvarjon
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منبع
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malaysian journal of mathematical sciences - 2011 - دوره : 5 - شماره : 2 - صفحه:185 -196
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چکیده
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In this paper we consider spectral expansions of functions from nikol'skii classes hap (rn), related to selfadjoint extensions of elliptic differential operators a(d) of order m in rn we construct a continuous function from nikol'skii class with pa < n, such that the riesz means of spectral expansion of which diverge at the origin. this result demonstrates sharpness of the condition pa > n obtained earlier by alimov (1976) for uniform convergence of spectral expansions, related to elliptic differential operators
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کلیدواژه
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Fourier integral ,spectral expansions of the differential operators ,spectral function ,Riesz means
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آدرس
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Universiti Putra Malaysia, Institute of Advanced Technology (ITMA), Malaysia. Universiti Putra Malaysia, Institute of Advanced Technology, Malaysia, Universiti Putra Malaysia, Institute for Mathematical Research, Malaysia
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پست الکترونیکی
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anvarjon@putra.upm.edu.my
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Authors
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