Heat kernel in the framework of zero order Mehler-Fock transform

DOI10.1007/s11785-019-00921-2zbMath1434.44004OpenAlexW2941534558WikidataQ128029411 ScholiaQ128029411MaRDI QIDQ2008155

Akhilesh Prasad, Sandeep Kumar Verma

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00921-2

zbMATH Keywords

heat kernelWeierstrass transformHeisenberg type inequalityzero order Mehler-Fock transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat kernel (35K08)

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Cites Work

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• An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms
• The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform
• The spectral expansion approach to index transforms and connections with the theory of diffusion processes
• Properties of index transforms in modeling of nanostructures and plasmonic systems
• The convolution for zero-order Mehler–Fock transform and pseudo-differential operator
• Operational Calculus and Related Topics