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An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms.
In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
Elgenfunction Expansions Associated with Second Order Differential Equations
Integral Equations and Integral Transforms
Integral Transforms, Reproducing Kernels and Their Applications
Integral Transforms of Generalized Functions and Their Applications
Sturm-Liouville Theory and its Applications
Spherical Harmonics In P Dimensions
Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields
Fourier Series, Fourier Transform and Their Applications to Mathematical Physics
Spheroidal Wave Functions
Integrals and Series
Photons In Fock Space And Beyond (In 3 Volumes)
Applications of Group Theory in Quantum Mechanics