Scientific foundations and current state of trace evidence—A review

Characterization of textile fibers by means of EGA-MS and Py-GC/MS

This review paper covers the forensic-relevant literature in fibres and textiles from 2016 to 2019 as a part of the 19th Interpol International Forensic Science Managers Symposium. The review papers are also available at the Interpol website at: https://www.interpol.int/content/download/14458/file/Interpol%20Review%20Papers%202019.pdf.

/pdf/interpol-review-of-fibres-and-textiles-2016-2019-2r3h400yil.pdf

Interpol review of fibres and textiles 2016-2019.

Preparation of pitch-based activated carbon fibers with high specific surface area and excellent adsorption properties

Vibrational methods include Raman, terahertz, NIR, and FTIR spectroscopy, having some potential applications in the forensic science field. However, the use of FTIR and NIR spectroscopy is thriving around the globe in the forensic context. This is due to the non-destructive, inexpensive method and the accurate prediction potential of the technique. This chapter summarizes the application of FTIR and NIR spectroscopy in the chemical sensing of the relevant forensic exhibits. A detailed idea on infrared spectroscopy is mandatory to understand its working principals and parameters which ultimately assist the forensic professionals and other researchers working on it. However, the history of IR radiations, their mathematical theories, different modes of vibrations and the major IR instrumentation have been thoroughly discussed. Some examples are also summarized from the published literature which will aid in facilitating the practical applications of infrared spectroscopy. A quick statistic about the utilizations of spectroscopy in forensics has also been reviewed. The validation of results can be confirmed by applying chemometrics methods on spectral data sets. To sum up, the infrared spectroscopy is a robust and reliable technique for the discrimination and classification of relevant forensic evidence to their respective groups. The statistical methods contribute more objectivity to the outcomes.

CHAPTER 8:FTIR and NIRS in Forensic Chemical Sensing

The Relationship Between Cross-Sectional Shapes and FTIR Profiles in Synthetic Wig Fibers and Their Discriminating Abilities - An Evidential Value Perspective

We extend the theory of matrix weights to the variable Lebesgue spaces. The theory of matrix [Formula: see text] weights has attracted considerable attention beginning with the work of Nazarov, Treil, and Volberg in the 1990s. We extend this theory by generalizing the matrix [Formula: see text] condition to the variable exponent setting. We prove boundedness of the convolution operator [Formula: see text] for [Formula: see text], and show that the approximate identity defined using [Formula: see text] converges in matrix weighted, variable Lebesgue spaces [Formula: see text] for [Formula: see text] in matrix [Formula: see text]. Our approach to this problem is through averaging operators; these results are of interest in their own right. As an application of our work, we prove a version of the classical [Formula: see text] theorem for matrix weighted, variable exponent Sobolev spaces. 

Convolution operators in matrix weighted, variable lebesgue spaces

. C. Stockdale, P. Villarroya, and B. Wick introduced the ǫ -maximal operator to prove the Haar multiplier is bounded on the weighted spaces L p ( w ) for a class of weights larger than A p . We prove the ǫ -maximal operator and Haar multiplier are bounded on variable Lebesgue spaces L p ( · ) ( R n ) for a larger collection of exponent functions than the log-Holder continuous functions used to prove the boundedness of the maximal operator on L p ( · ) ( R n ). We also prove that the Haar multiplier is compact when restricted to a dyadic cube Q 0 .

The \epsilon-Maximal Operator and Haar Multipliers on Variable Lebesgue Spaces

. Recently, Stockdale, Villarroya, and Wick introduced the ε -maximal operator to prove the Haar multiplier is bounded on the weighted spaces L p ( w ) for a class of weights larger than A p . We prove the ε -maximal operator and Haar multiplier are bounded on variable Lebesgue spaces L p ( · ) ( R n ) for a larger collection of exponent functions than the log-H¨older continuous functions used to prove the boundedness of the maximal operator on L p ( · ) ( R n ) . We also prove that the Haar multiplier is compact when restricted to a dyadic cube Q 0 .

pdf/the-e-maximal-operator-and-haar-multipliers-on-variable-6yz7rc5ypk.pdf

The ε-maximal operator and Haar multipliers on variable Lebesgue spaces

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Papers

The Relationship Between Cross-Sectional Shapes and FTIR Profiles in Synthetic Wig Fibers and Their Discriminating Abilities - An Evidential Value Perspective

Convolution operators in matrix weighted, variable lebesgue spaces

The \epsilon-Maximal Operator and Haar Multipliers on Variable Lebesgue Spaces

The ε-maximal operator and Haar multipliers on variable Lebesgue spaces