Modular invariance, tauberian theorems and microcanonical entropy
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DOI: 10.1007/jhep10(2019)261
Abstract: A bstractWe analyze modular invariance drawing inspiration from tauberian theorems. Given a modular invariant partition function with a positive spectral density, we derive lower and upper bounds on the number of operators within a given… read more here.
Keywords: invariance tauberian; microcanonical entropy; entropy; modular invariance ... See more keywords
Tauberian theorems for iterations of weighted mean summable integrals
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DOI: 10.1007/s11117-018-0603-4
Abstract: Let p be a positive weight function on $$A:=[1, \infty )$$A:=[1,∞) which is integrable in Lebesgue’s sense over every finite interval (1, x) for $$11$$x>1, $$P(1)=0$$P(1)=0 and $$P(x) \rightarrow \infty $$P(x)→∞ as $$x \rightarrow \infty $$x→∞.… read more here.
Keywords: rightarrow infty; tauberian theorems; weighted mean; lim rightarrow ... See more keywords
Tauberian theorems for the Stockwell transform of Lizorkin distributions
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DOI: 10.1080/00036811.2018.1506104
Abstract: ABSTRACT We prove the continuity of the Stockwell transform and the corresponding synthesis operator on the spaces of highly localized test functions over and , respectively. Using the obtained continuity results, we define and study… read more here.
Keywords: lizorkin distributions; tauberian theorems; theorems stockwell; transform lizorkin ... See more keywords